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10040 = 235251
BaseRepresentation
bin10011100111000
3111202212
42130320
5310130
6114252
741162
oct23470
914685
1010040
1175a8
125988
134754
143932
152e95
hex2738

10040 has 16 divisors (see below), whose sum is σ = 22680. Its totient is φ = 4000.

The previous prime is 10039. The next prime is 10061. The reversal of 10040 is 4001.

Adding to 10040 its reverse (4001), we get a palindrome (14041).

10040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 165.

210040 is an apocalyptic number.

10040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040 is an abundant number, since it is smaller than the sum of its proper divisors (12640).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340).

10040 is a wasteful number, since it uses less digits than its factorization.

10040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10040 is about 100.1998003990. The cubic root of 10040 is about 21.5730344800.

The spelling of 10040 in words is "ten thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 40 251 502 1004 1255 2008 2510 5020 10040