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139589856 = 25327174073
BaseRepresentation
bin10000101000111…
…11100011100000
3100201122220021200
420110133203200
5241213333411
621503521200
73313331340
oct1024374340
9321586250
10139589856
1171881a1a
123a8b9200
1322bc5763
1414778d20
15c3c4e56
hex851f8e0

139589856 has 144 divisors (see below), whose sum is σ = 480471264. Its totient is φ = 37527552.

The previous prime is 139589843. The next prime is 139589861. The reversal of 139589856 is 658985931.

It is a happy number.

139589856 is a `hidden beast` number, since 1 + 3 + 9 + 589 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 32236 + ... + 36308.

It is an arithmetic number, because the mean of its divisors is an integer number (3336606).

Almost surely, 2139589856 is an apocalyptic number.

139589856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139589856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240235632).

139589856 is an abundant number, since it is smaller than the sum of its proper divisors (340881408).

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

139589856 is a wasteful number, since it uses less digits than its factorization.

139589856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4102 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 139589856 is about 11814.8151064670. The cubic root of 139589856 is about 518.7418498550.

The spelling of 139589856 in words is "one hundred thirty-nine million, five hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4073 4284 4896 5712 8146 8568 11424 12219 16292 17136 24438 28511 32584 34272 36657 48876 57022 65168 69241 73314 85533 97752 114044 130336 138482 146628 171066 195504 207723 228088 256599 276964 293256 342132 391008 415446 456176 484687 513198 553928 586512 623169 684264 830892 912352 969374 1026396 1107856 1173024 1246338 1368528 1454061 1661784 1938748 2052792 2215712 2492676 2737056 2908122 3323568 3877496 4105584 4362183 4985352 5816244 6647136 7754992 8211168 8724366 9970704 11632488 15509984 17448732 19941408 23264976 34897464 46529952 69794928 139589856