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102056136 = 23371383563
BaseRepresentation
bin1100001010101…
…00000011001000
321010000222200220
412011110003020
5202111244021
614043230040
72346314520
oct605240310
9233028626
10102056136
1152676316
122a218320
13181b3660
14d7a8680
158e5dcc6
hex61540c8

102056136 has 128 divisors (see below), whose sum is σ = 318366720. Its totient is φ = 26544384.

The previous prime is 102056131. The next prime is 102056147. The reversal of 102056136 is 631650201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102056131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180991 + ... + 181553.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 2102056136 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 102056136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183360).

102056136 is an abundant number, since it is smaller than the sum of its proper divisors (216310584).

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

102056136 is a wasteful number, since it uses less digits than its factorization.

102056136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 102056136 is about 10102.2837022131. The cubic root of 102056136 is about 467.3185714445.

The spelling of 102056136 in words is "one hundred two million, fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 83 84 91 104 156 166 168 182 249 273 312 332 364 498 546 563 581 664 728 996 1079 1092 1126 1162 1689 1743 1992 2158 2184 2252 2324 3237 3378 3486 3941 4316 4504 4648 6474 6756 6972 7319 7553 7882 8632 11823 12948 13512 13944 14638 15106 15764 21957 22659 23646 25896 29276 30212 31528 43914 45318 46729 47292 51233 58552 60424 87828 90636 93458 94584 102466 140187 153699 175656 181272 186916 204932 280374 307398 327103 373832 409864 560748 607477 614796 654206 981309 1121496 1214954 1229592 1308412 1822431 1962618 2429908 2616824 3644862 3925236 4252339 4859816 7289724 7850472 8504678 12757017 14579448 17009356 25514034 34018712 51028068 102056136