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102701916 = 223219532833
BaseRepresentation
bin1100001111100…
…01101101011100
321011020210112200
412013301231130
5202242430131
614105131500
72354644332
oct607615534
9234223480
10102701916
1152a77519
122a489b90
131837b585
14d8d5b52
15903a2e6
hex61f1b5c

102701916 has 72 divisors (see below), whose sum is σ = 278525520. Its totient is φ = 31809024.

The previous prime is 102701887. The next prime is 102701927. The reversal of 102701916 is 619107201.

It is a self number, because there is not a number n which added to its sum of digits gives 102701916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34836 + ... + 37668.

It is an arithmetic number, because the mean of its divisors is an integer number (3868410).

Almost surely, 2102701916 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 102701916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139262760).

102701916 is an abundant number, since it is smaller than the sum of its proper divisors (175823604).

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

102701916 is a wasteful number, since it uses less digits than its factorization.

102701916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 102701916 is about 10134.1953799993. The cubic root of 102701916 is about 468.3021826635.

The spelling of 102701916 in words is "one hundred two million, seven hundred one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1908 2014 2833 3021 4028 5666 6042 8499 9063 11332 12084 16998 18126 25497 33996 36252 50994 53827 101988 107654 150149 161481 215308 300298 322962 450447 484443 600596 645924 900894 968886 1351341 1801788 1937772 2702682 2852831 5405364 5705662 8558493 11411324 17116986 25675479 34233972 51350958 102701916