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102717056 = 271361729
BaseRepresentation
bin1100001111101…
…01011010000000
321011021120022102
412013311122000
5202243421211
614105325532
72355036431
oct607653200
9234246272
10102717056
1152a87932
122a4968a8
1318385430
14d8db488
15903ea3b
hex61f5680

102717056 has 32 divisors (see below), whose sum is σ = 220376100. Its totient is φ = 47407104.

The previous prime is 102717047. The next prime is 102717071. The reversal of 102717056 is 650717201.

It can be written as a sum of positive squares in 2 ways, for example, as 100801600 + 1915456 = 10040^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29201 + ... + 32528.

Almost surely, 2102717056 is an apocalyptic number.

102717056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102717056 is an abundant number, since it is smaller than the sum of its proper divisors (117659044).

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

102717056 is an equidigital number, since it uses as much as digits as its factorization.

102717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61756 (or 61744 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 102717056 is about 10134.9423284003. The cubic root of 102717056 is about 468.3251934210.

The spelling of 102717056 in words is "one hundred two million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 61729 123458 246916 493832 802477 987664 1604954 1975328 3209908 3950656 6419816 7901312 12839632 25679264 51358528 102717056