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102683812 = 22721197491
BaseRepresentation
bin1100001111011…
…01010010100100
321011012212201011
412013231102210
5202241340222
614104512004
72354540500
oct607552244
9234185634
10102683812
1152a64960
122a47b604
131837326a
14d8cd300
159034c77
hex61ed4a4

102683812 has 72 divisors (see below), whose sum is σ = 230858208. Its totient is φ = 39513600.

The previous prime is 102683759. The next prime is 102683837. The reversal of 102683812 is 218386201.

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 23 ways as a sum of consecutive naturals, for example, 208887 + ... + 209377.

It is an arithmetic number, because the mean of its divisors is an integer number (3206364).

Almost surely, 2102683812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102683812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115429104).

102683812 is an abundant number, since it is smaller than the sum of its proper divisors (128174396).

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

102683812 is a wasteful number, since it uses less digits than its factorization.

102683812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 102683812 is about 10133.3021271449. The cubic root of 102683812 is about 468.2746640567.

The spelling of 102683812 in words is "one hundred two million, six hundred eighty-three thousand, eight hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 97 98 154 194 196 308 388 491 539 679 982 1067 1078 1358 1964 2134 2156 2716 3437 4268 4753 5401 6874 7469 9506 10802 13748 14938 19012 21604 24059 29876 37807 47627 48118 52283 75614 95254 96236 104566 151228 190508 209132 264649 333389 523897 529298 666778 1047794 1058596 1333556 2095588 2333723 3667279 4667446 7334558 9334892 14669116 25670953 51341906 102683812