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10259928 = 2332720357
BaseRepresentation
bin100111001000…
…110111011000
3201022020222100
4213020313120
510111304203
61003523400
7153131220
oct47106730
921266870
1010259928
115878488
123529560
132182c83
141511080
15d79ea3
hex9c8dd8

10259928 has 48 divisors (see below), whose sum is σ = 31758480. Its totient is φ = 2931264.

The previous prime is 10259927. The next prime is 10259941. The reversal of 10259928 is 82995201.

10259928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102599282 = 210532245130368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10259892 and 10259901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259927) 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, 9675 + ... + 10682.

It is an arithmetic number, because the mean of its divisors is an integer number (661635).

Almost surely, 210259928 is an apocalyptic number.

10259928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10259928 is an abundant number, since it is smaller than the sum of its proper divisors (21498552).

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

10259928 is a wasteful number, since it uses less digits than its factorization.

10259928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376 (or 20369 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10259928 is about 3203.1122365599. The cubic root of 10259928 is about 217.2941850104.

The spelling of 10259928 in words is "ten million, two hundred fifty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 20357 40714 61071 81428 122142 142499 162856 183213 244284 284998 366426 427497 488568 569996 732852 854994 1139992 1282491 1465704 1709988 2564982 3419976 5129964 10259928