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102616656 = 24311318919
BaseRepresentation
bin1100001110111…
…00111001010000
321011002110120220
412013130321100
5202232213111
614103233040
72354140632
oct607347120
9234073526
10102616656
1152a1945a
122a448780
131834b81c
14d8b2a52
15901ee06
hex61dce50

102616656 has 40 divisors (see below), whose sum is σ = 267453120. Its totient is φ = 33901056.

The previous prime is 102616609. The next prime is 102616669. The reversal of 102616656 is 656616201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4036 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (6686328).

Almost surely, 2102616656 is an apocalyptic number.

102616656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102616656 is an abundant number, since it is smaller than the sum of its proper divisors (164836464).

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

102616656 is a wasteful number, since it uses less digits than its factorization.

102616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19043 (or 19037 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 102616656 is about 10129.9879565575. The cubic root of 102616656 is about 468.1725567207.

The spelling of 102616656 in words is "one hundred two million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 18919 37838 56757 75676 113514 151352 227028 302704 454056 908112 2137847 4275694 6413541 8551388 12827082 17102776 25654164 34205552 51308328 102616656