10140 has 36 divisors (see below), whose sum is σ = 30744. Its totient is φ = 2496.

The previous prime is 10139. The next prime is 10141. The reversal of 10140 is 4101.

It is an interprime number because it is at equal distance from previous prime (10139) and next prime (10141).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (854).

2^{10140} is an apocalyptic number.

10140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372).

10140 is an abundant number, since it is smaller than the sum of its proper divisors (20604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10140 is a wasteful number, since it uses less digits than its factorization.

10140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10140 is about 100.6975670014. The cubic root of 10140 is about 21.6444216134.

Adding to 10140 its reverse (4101), we get a palindrome (14241).

It can be divided in two parts, 101 and 40, that added together give a palindrome (141).

The spelling of 10140 in words is "ten thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140

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