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10504872 = 23327191097
BaseRepresentation
bin101000000100…
…101010101000
3201202200222100
4220010222220
510142123442
61013053400
7155201310
oct50045250
921680870
1010504872
115a25514
123627260
13223a601
141576440
15dc784c
hexa04aa8

10504872 has 96 divisors (see below), whose sum is σ = 34257600. Its totient is φ = 2840832.

The previous prime is 10504849. The next prime is 10504903. The reversal of 10504872 is 27840501.

It is a super-2 number, since 2×105048722 = 220704671472768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9028 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (356850).

Almost surely, 210504872 is an apocalyptic number.

10504872 is a gapful number since it is divisible by the number (12) 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 10504872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128800).

10504872 is an abundant number, since it is smaller than the sum of its proper divisors (23752728).

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

10504872 is a wasteful number, since it uses less digits than its factorization.

10504872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10504872 is about 3241.1220279403. The cubic root of 10504872 is about 219.0098200388.

The spelling of 10504872 in words is "ten million, five hundred four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1097 1197 1368 1596 2194 2394 3192 3291 4388 4788 6582 7679 8776 9576 9873 13164 15358 19746 20843 23037 26328 30716 39492 41686 46074 61432 62529 69111 78984 83372 92148 125058 138222 145901 166744 184296 187587 250116 276444 291802 375174 437703 500232 552888 583604 750348 875406 1167208 1313109 1500696 1750812 2626218 3501624 5252436 10504872