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86700672 = 273325087
BaseRepresentation
bin1010010101011…
…11001010000000
320001010211222000
411022233022000
5134143410142
612334144000
72101641432
oct512571200
9201124860
1086700672
1144a38553
1225052000
1314c68296
14b72c652
15792914c
hex52af280

86700672 has 64 divisors (see below), whose sum is σ = 255897600. Its totient is φ = 28899072.

The previous prime is 86700659. The next prime is 86700673. The reversal of 86700672 is 27600768.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86700673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9088 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (3998400).

Almost surely, 286700672 is an apocalyptic number.

It is an amenable number.

86700672 is an abundant number, since it is smaller than the sum of its proper divisors (169196928).

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

86700672 is a wasteful number, since it uses less digits than its factorization.

86700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25110 (or 25092 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 86700672 is about 9311.3195627687. The cubic root of 86700672 is about 442.5960033009.

The spelling of 86700672 in words is "eighty-six million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 25087 50174 75261 100348 150522 200696 225783 301044 401392 451566 602088 677349 802784 903132 1204176 1354698 1605568 1806264 2408352 2709396 3211136 3612528 4816704 5418792 7225056 9633408 10837584 14450112 21675168 28900224 43350336 86700672