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102690168 = 23371274813
BaseRepresentation
bin1100001111011…
…10110101111000
321011020012102120
412013232311320
5202242041133
614105001240
72354565150
oct607566570
9234205376
10102690168
1152a69709
122a483220
1318376119
14d8d1760
159036ab3
hex61eed78

102690168 has 64 divisors (see below), whose sum is σ = 295772160. Its totient is φ = 29102976.

The previous prime is 102690167. The next prime is 102690187. The reversal of 102690168 is 861096201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102690167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18930 + ... + 23742.

It is an arithmetic number, because the mean of its divisors is an integer number (4621440).

Almost surely, 2102690168 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 102690168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147886080).

102690168 is an abundant number, since it is smaller than the sum of its proper divisors (193081992).

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

102690168 is a wasteful number, since it uses less digits than its factorization.

102690168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 102690168 is about 10133.6157416788. The cubic root of 102690168 is about 468.2843257300.

The spelling of 102690168 in words is "one hundred two million, six hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 4813 5334 7112 9626 10668 14439 19252 21336 28878 33691 38504 57756 67382 101073 115512 134764 202146 269528 404292 611251 808584 1222502 1833753 2445004 3667506 4278757 4890008 7335012 8557514 12836271 14670024 17115028 25672542 34230056 51345084 102690168