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102336656 = 2441732137
BaseRepresentation
bin1100001100110…
…00100010010000
321010120020111112
412012120202100
5202144233111
614053232452
72351563412
oct606304220
9233506445
10102336656
1152848054
122a332728
1318281246
14d83c9b2
158eb6e8b
hex6198890

102336656 has 40 divisors (see below), whose sum is σ = 205992024. Its totient is φ = 49213440.

The previous prime is 102336623. The next prime is 102336659. The reversal of 102336656 is 656633201.

It can be written as a sum of positive squares in 4 ways, for example, as 2016400 + 100320256 = 1420^2 + 10016^2 .

It is a super-2 number, since 2×1023366562 = 20945582322524672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102336659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46820 + ... + 48956.

Almost surely, 2102336656 is an apocalyptic number.

102336656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102336656 is an abundant number, since it is smaller than the sum of its proper divisors (103655368).

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

102336656 is a wasteful number, since it uses less digits than its factorization.

102336656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 102336656 is about 10116.1581640463. The cubic root of 102336656 is about 467.7463499971.

Adding to 102336656 its reverse (656633201), we get a palindrome (758969857).

The spelling of 102336656 in words is "one hundred two million, three hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 41 73 82 146 164 292 328 584 656 1168 2137 2993 4274 5986 8548 11972 17096 23944 34192 47888 87617 156001 175234 312002 350468 624004 700936 1248008 1401872 2496016 6396041 12792082 25584164 51168328 102336656