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102685120 = 2651916889
BaseRepresentation
bin1100001111011…
…01100111000000
321011012221111121
412013231213000
5202241410440
614104522024
72354544346
oct607554700
9234187447
10102685120
1152a6593a
122a480314
1318373a35
14d8cd996
15903534a
hex61ed9c0

102685120 has 56 divisors (see below), whose sum is σ = 257403600. Its totient is φ = 38909952.

The previous prime is 102685111. The next prime is 102685147. The reversal of 102685120 is 21586201.

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, 2365 + ... + 14524.

Almost surely, 2102685120 is an apocalyptic number.

102685120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102685120 is an abundant number, since it is smaller than the sum of its proper divisors (154718480).

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

102685120 is a wasteful number, since it uses less digits than its factorization.

102685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16925 (or 16915 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 102685120 is about 10133.3666666118. The cubic root of 102685120 is about 468.2766523631.

The spelling of 102685120 in words is "one hundred two million, six hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 16889 33778 67556 84445 135112 168890 270224 320891 337780 540448 641782 675560 1080896 1283564 1351120 1604455 2567128 2702240 3208910 5134256 5404480 6417820 10268512 12835640 20537024 25671280 51342560 102685120