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102534656 = 29726167
BaseRepresentation
bin1100001110010…
…00111000000000
321010221022002212
412013020320000
5202222102111
614101401252
72353346600
oct607107000
9233838085
10102534656
1152972894
122a409228
13183203c3
14d890c00
15900598b
hex61c8e00

102534656 has 120 divisors (see below), whose sum is σ = 245839176. Its totient is φ = 42577920.

The previous prime is 102534647. The next prime is 102534689. The reversal of 102534656 is 656435201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530335 + ... + 1530401.

Almost surely, 2102534656 is an apocalyptic number.

102534656 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 102534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122919588).

102534656 is an abundant number, since it is smaller than the sum of its proper divisors (143304520).

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

102534656 is an frugal number, since it uses more digits than its factorization.

102534656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 102534656 is about 10125.9397588570. The cubic root of 102534656 is about 468.0478194009.

Adding to 102534656 its reverse (656435201), we get a palindrome (758969857).

The spelling of 102534656 in words is "one hundred two million, five hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 67 98 112 122 128 134 196 224 244 256 268 392 427 448 469 488 512 536 784 854 896 938 976 1072 1568 1708 1792 1876 1952 2144 2989 3136 3283 3416 3584 3752 3904 4087 4288 5978 6272 6566 6832 7504 7808 8174 8576 11956 12544 13132 13664 15008 15616 16348 17152 23912 25088 26264 27328 28609 30016 31232 32696 34304 47824 52528 54656 57218 60032 65392 95648 105056 109312 114436 120064 130784 191296 200263 210112 218624 228872 240128 261568 382592 400526 420224 457744 523136 765184 801052 840448 915488 1046272 1530368 1602104 1680896 1830976 2092544 3204208 3661952 6408416 7323904 12816832 14647808 25633664 51267328 102534656