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70056576 = 273429233
BaseRepresentation
bin1000010110011…
…11101010000000
311212211020120000
410023033222000
5120413302301
610541320000
71510320402
oct413175200
9155736500
1070056576
11365aa5a7
121b566000
131168b4c5
149438b72
15623c786
hex42cfa80

70056576 has 160 divisors (see below), whose sum is σ = 216602100. Its totient is φ = 22450176.

The previous prime is 70056527. The next prime is 70056587. The reversal of 70056576 is 67565007.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 1498176 = 8280^2 + 1224^2 .

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 70056576.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 300556 + ... + 300788.

Almost surely, 270056576 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 70056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108301050).

70056576 is an abundant number, since it is smaller than the sum of its proper divisors (146545524).

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

70056576 is a wasteful number, since it uses less digits than its factorization.

70056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 70056576 is about 8369.9806451389. The cubic root of 70056576 is about 412.2395314324.

The spelling of 70056576 in words is "seventy million, fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 233 261 288 324 348 384 432 464 466 522 576 648 696 699 783 864 928 932 1044 1152 1296 1392 1398 1566 1728 1856 1864 2088 2097 2349 2592 2784 2796 3132 3456 3712 3728 4176 4194 4698 5184 5568 5592 6264 6291 6757 7456 8352 8388 9396 10368 11136 11184 12528 12582 13514 14912 16704 16776 18792 18873 20271 22368 25056 25164 27028 29824 33408 33552 37584 37746 40542 44736 50112 50328 54056 60813 67104 75168 75492 81084 89472 100224 100656 108112 121626 134208 150336 150984 162168 182439 201312 216224 243252 268416 300672 301968 324336 364878 402624 432448 486504 547317 603936 648672 729756 805248 864896 973008 1094634 1207872 1297344 1459512 1946016 2189268 2415744 2594688 2919024 3892032 4378536 5838048 7784064 8757072 11676096 17514144 23352192 35028288 70056576