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86360256 = 2637617
BaseRepresentation
bin1010010010111…
…00000011000000
320000111120000000
411021130003000
5134102012011
612323000000
72066023113
oct511340300
9200446000
1086360256
1144825814
1224b09000
1314b79358
14b68057a
1578ad356
hex525c0c0

86360256 has 112 divisors (see below), whose sum is σ = 257434080. Its totient is φ = 28740096.

The previous prime is 86360249. The next prime is 86360273. The reversal of 86360256 is 65206368.

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 86360256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139660 + ... + 140276.

Almost surely, 286360256 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 86360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128717040).

86360256 is an abundant number, since it is smaller than the sum of its proper divisors (171073824).

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

86360256 is an frugal number, since it uses more digits than its factorization.

86360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 86360256 is about 9293.0218981771. The cubic root of 86360256 is about 442.0159832607.

The spelling of 86360256 in words is "eighty-six million, three hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 617 648 729 864 972 1234 1296 1458 1728 1851 1944 2187 2468 2592 2916 3702 3888 4374 4936 5184 5553 5832 7404 7776 8748 9872 11106 11664 14808 15552 16659 17496 19744 22212 23328 29616 33318 34992 39488 44424 46656 49977 59232 66636 69984 88848 99954 118464 133272 139968 149931 177696 199908 266544 299862 355392 399816 449793 533088 599724 799632 899586 1066176 1199448 1349379 1599264 1799172 2398896 2698758 3198528 3598344 4797792 5397516 7196688 9595584 10795032 14393376 21590064 28786752 43180128 86360256