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87860136 = 2337313821
BaseRepresentation
bin1010011110010…
…10001110101000
320010022202110010
411033022032220
5134443011021
612415051520
72114541000
oct517121650
9203282403
1087860136
114565a691
1225510ba0
1315282c60
14b951000
157aa7976
hex53ca3a8

87860136 has 128 divisors (see below), whose sum is σ = 276192000. Its totient is φ = 23143680.

The previous prime is 87860119. The next prime is 87860141. The reversal of 87860136 is 63106878.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 87860094 and 87860103.

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 31 ways as a sum of consecutive naturals, for example, 106606 + ... + 107426.

It is an arithmetic number, because the mean of its divisors is an integer number (2157750).

Almost surely, 287860136 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 87860136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138096000).

87860136 is an abundant number, since it is smaller than the sum of its proper divisors (188331864).

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

87860136 is a wasteful number, since it uses less digits than its factorization.

87860136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87860136 is about 9373.3737789549. The cubic root of 87860136 is about 444.5602456214.

The spelling of 87860136 in words is "eighty-seven million, eight hundred sixty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 343 364 392 546 588 637 686 728 821 1029 1092 1176 1274 1372 1642 1911 2058 2184 2463 2548 2744 3284 3822 4116 4459 4926 5096 5747 6568 7644 8232 8918 9852 10673 11494 13377 15288 17241 17836 19704 21346 22988 26754 32019 34482 35672 40229 42692 45976 53508 64038 68964 74711 80458 85384 107016 120687 128076 137928 149422 160916 224133 241374 256152 281603 298844 321832 448266 482748 522977 563206 597688 844809 896532 965496 1045954 1126412 1568931 1689618 1793064 2091908 2252824 3137862 3379236 3660839 4183816 6275724 6758472 7321678 10982517 12551448 14643356 21965034 29286712 43930068 87860136