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84070656 = 283312163
BaseRepresentation
bin1010000001011…
…01000100000000
312212012020021000
411000231010000
5133010230111
612201532000
72040405645
oct500550400
9185166230
1084070656
114350158a
12241a4000
1314557167
14b245dcc
1575a9c56
hex502d100

84070656 has 72 divisors (see below), whose sum is σ = 248632160. Its totient is φ = 28021248.

The previous prime is 84070643. The next prime is 84070663. The reversal of 84070656 is 65607048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 84070656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831 + ... + 12993.

Almost surely, 284070656 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 84070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124316080).

84070656 is an abundant number, since it is smaller than the sum of its proper divisors (164561504).

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

84070656 is a wasteful number, since it uses less digits than its factorization.

84070656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12168 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 84070656 is about 9169.0051804980. The cubic root of 84070656 is about 438.0746729507.

The spelling of 84070656 in words is "eighty-four million, seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 12163 24326 36489 48652 72978 97304 109467 145956 194608 218934 291912 328401 389216 437868 583824 656802 778432 875736 1167648 1313604 1556864 1751472 2335296 2627208 3113728 3502944 4670592 5254416 7005888 9341184 10508832 14011776 21017664 28023552 42035328 84070656