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70130592 = 2532743809
BaseRepresentation
bin1000010111000…
…01101110100000
311212222000002100
410023201232200
5120423134332
610543050400
71511046240
oct413415640
9155860070
1070130592
1136650174
121b5a0a00
13116b60bc
149457b20
15625467c
hex42e1ba0

70130592 has 144 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 19547136.

The previous prime is 70130581. The next prime is 70130617. The reversal of 70130592 is 29503107.

70130592 is a `hidden beast` number, since 70 + 1 + 3 + 0 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 86284 + ... + 87092.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 270130592 is an apocalyptic number.

70130592 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70130592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

70130592 is an abundant number, since it is smaller than the sum of its proper divisors (163382688).

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

70130592 is a wasteful number, since it uses less digits than its factorization.

70130592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 70130592 is about 8374.4009935040. The cubic root of 70130592 is about 412.3846597634.

Adding to 70130592 its reverse (29503107), we get a palindrome (99633699).

The spelling of 70130592 in words is "seventy million, one hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 809 903 1008 1032 1204 1376 1548 1618 1806 2016 2064 2408 2427 2709 3096 3236 3612 4128 4816 4854 5418 5663 6192 6472 7224 7281 9632 9708 10836 11326 12384 12944 14448 14562 16989 19416 21672 22652 25888 28896 29124 33978 34787 38832 43344 45304 50967 58248 67956 69574 77664 86688 90608 101934 104361 116496 135912 139148 181216 203868 208722 232992 243509 271824 278296 313083 407736 417444 487018 543648 556592 626166 730527 815472 834888 974036 1113184 1252332 1461054 1630944 1669776 1948072 2191581 2504664 2922108 3339552 3896144 4383162 5009328 5844216 7792288 8766324 10018656 11688432 17532648 23376864 35065296 70130592