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102864372 = 223132328669
BaseRepresentation
bin1100010000110…
…01010111110100
321011120001101120
412020121113310
5202313124442
614112423540
72356222062
oct610312764
9234501346
10102864372
1153078586
122a547bb0
13184074c0
14d939032
15906d4ec
hex62195f4

102864372 has 48 divisors (see below), whose sum is σ = 269727360. Its totient is φ = 30273408.

The previous prime is 102864353. The next prime is 102864409. The reversal of 102864372 is 273468201.

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 15 ways as a sum of consecutive naturals, for example, 10747 + ... + 17922.

It is an arithmetic number, because the mean of its divisors is an integer number (5619320).

Almost surely, 2102864372 is an apocalyptic number.

102864372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102864372 is an abundant number, since it is smaller than the sum of its proper divisors (166862988).

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

102864372 is a wasteful number, since it uses less digits than its factorization.

102864372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28712 (or 28710 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 102864372 is about 10142.2074520294. The cubic root of 102864372 is about 468.5489759184.

The spelling of 102864372 in words is "one hundred two million, eight hundred sixty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 28669 57338 86007 114676 172014 344028 372697 659387 745394 1118091 1318774 1490788 1978161 2236182 2637548 3956322 4472364 7912644 8572031 17144062 25716093 34288124 51432186 102864372