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86708736 = 293231607
BaseRepresentation
bin1010010101100…
…01001000000000
320001011021000200
411022301020000
5134144134421
612334245200
72102004102
oct512611000
9201137020
1086708736
1144a43614
1225056800
1314c6bb5a
14b731572
15792b726
hex52b1200

86708736 has 120 divisors (see below), whose sum is σ = 258745344. Its totient is φ = 27924480.

The previous prime is 86708731. The next prime is 86708759. The reversal of 86708736 is 63780768.

It is a junction number, because it is equal to n+sod(n) for n = 86708691 and 86708700.

It is not an unprimeable number, because it can be changed into a prime (86708731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142545 + ... + 143151.

Almost surely, 286708736 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 86708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129372672).

86708736 is an abundant number, since it is smaller than the sum of its proper divisors (172036608).

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

86708736 is a wasteful number, since it uses less digits than its factorization.

86708736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 86708736 is about 9311.7525740325. The cubic root of 86708736 is about 442.6097247768.

The spelling of 86708736 in words is "eighty-six million, seven hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 607 744 768 992 1116 1152 1214 1488 1536 1821 1984 2232 2304 2428 2976 3642 3968 4464 4608 4856 5463 5952 7284 7936 8928 9712 10926 11904 14568 15872 17856 18817 19424 21852 23808 29136 35712 37634 38848 43704 47616 56451 58272 71424 75268 77696 87408 112902 116544 142848 150536 155392 169353 174816 225804 233088 301072 310784 338706 349632 451608 466176 602144 677412 699264 903216 932352 1204288 1354824 1398528 1806432 2408576 2709648 2797056 3612864 4817152 5419296 7225728 9634304 10838592 14451456 21677184 28902912 43354368 86708736