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104275776 = 2631197509
BaseRepresentation
bin1100011011100…
…01111101000000
321021012202110210
412031301331000
5203143311101
614202554120
72404221003
oct615617500
9237182423
10104275776
1153951a30
122ab08940
13187aca57
14dbc553a
15924b7d6
hex6371f40

104275776 has 112 divisors (see below), whose sum is σ = 304678080. Its totient is φ = 31211520.

The previous prime is 104275771. The next prime is 104275799. The reversal of 104275776 is 677572401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104275771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204610 + ... + 205118.

It is an arithmetic number, because the mean of its divisors is an integer number (2720340).

Almost surely, 2104275776 is an apocalyptic number.

104275776 is a gapful number since it is divisible by the number (16) 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 104275776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152339040).

104275776 is an abundant number, since it is smaller than the sum of its proper divisors (200402304).

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

104275776 is a wasteful number, since it uses less digits than its factorization.

104275776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 104275776 is about 10211.5511064676. The cubic root of 104275776 is about 470.6822384171.

The spelling of 104275776 in words is "one hundred four million, two hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 132 176 192 194 264 291 352 388 509 528 582 704 776 1018 1056 1067 1164 1527 1552 2036 2112 2134 2328 3054 3104 3201 4072 4268 4656 5599 6108 6208 6402 8144 8536 9312 11198 12216 12804 16288 16797 17072 18624 22396 24432 25608 32576 33594 34144 44792 48864 49373 51216 67188 68288 89584 97728 98746 102432 134376 148119 179168 197492 204864 268752 296238 358336 394984 537504 543103 592476 789968 1075008 1086206 1184952 1579936 1629309 2172412 2369904 3159872 3258618 4344824 4739808 6517236 8689648 9479616 13034472 17379296 26068944 34758592 52137888 104275776