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102857076 = 22327258309
BaseRepresentation
bin1100010000101…
…11100101110100
321011112200101100
412020113211310
5202312411301
614112330100
72356161600
oct610274564
9234480340
10102857076
1153073053
122a543930
131840409a
14d936500
15906b286
hex6217974

102857076 has 54 divisors (see below), whose sum is σ = 302453970. Its totient is φ = 29387232.

The previous prime is 102857071. The next prime is 102857093. The reversal of 102857076 is 670758201.

102857076 is a `hidden beast` number, since 10 + 2 + 8 + 570 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86936976 + 15920100 = 9324^2 + 3990^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102857076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102857071) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 27391 + ... + 30918.

Almost surely, 2102857076 is an apocalyptic number.

It is an amenable number.

102857076 is an abundant number, since it is smaller than the sum of its proper divisors (199596894).

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

102857076 is a wasteful number, since it uses less digits than its factorization.

102857076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58333 (or 58321 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 102857076 is about 10141.8477606401. The cubic root of 102857076 is about 468.5378978549.

The spelling of 102857076 in words is "one hundred two million, eight hundred fifty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 58309 116618 174927 233236 349854 408163 524781 699708 816326 1049562 1224489 1632652 2099124 2448978 2857141 3673467 4897956 5714282 7346934 8571423 11428564 14693868 17142846 25714269 34285692 51428538 102857076