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10508904 = 2332729719
BaseRepresentation
bin101000000101…
…101001101000
3201202220111200
4220011221220
510142241104
61013124200
7155216130
oct50055150
921686450
1010508904
115a2854a
123629660
13223c3b3
141577ac0
15dc8b39
hexa05a68

10508904 has 96 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 2894976.

The previous prime is 10508891. The next prime is 10508909. The reversal of 10508904 is 40980501.

It is a super-2 number, since 2×105089042 = 220874126562432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10508909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14257 + ... + 14975.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 210508904 is an apocalyptic number.

10508904 is a gapful number since it is divisible by the number (14) 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 10508904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

10508904 is an abundant number, since it is smaller than the sum of its proper divisors (23187096).

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

10508904 is a wasteful number, since it uses less digits than its factorization.

10508904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10508904 is about 3241.7439750850. The cubic root of 10508904 is about 219.0378367102.

The spelling of 10508904 in words is "ten million, five hundred eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 719 812 1044 1218 1438 1624 1827 2088 2157 2436 2876 3654 4314 4872 5033 5752 6471 7308 8628 10066 12942 14616 15099 17256 20132 20851 25884 30198 40264 41702 45297 51768 60396 62553 83404 90594 120792 125106 145957 166808 181188 187659 250212 291914 362376 375318 437871 500424 583828 750636 875742 1167656 1313613 1501272 1751484 2627226 3502968 5254452 10508904