Search a number
-
+
70610436 = 223213312157
BaseRepresentation
bin1000011010101…
…10111000000100
311220212101022100
410031112320010
5121034013221
611001232100
71515115221
oct415267004
9156771270
1070610436
1136948736
121b792630
1311823630
149540948
1562eb926
hex4356e04

70610436 has 108 divisors (see below), whose sum is σ = 199882956. Its totient is φ = 20891520.

The previous prime is 70610381. The next prime is 70610443. The reversal of 70610436 is 63401607.

70610436 is a `hidden beast` number, since 7 + 0 + 610 + 43 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 55353600 = 3906^2 + 7440^2 .

It is a super-2 number, since 2×706104362 = 9971667344220192, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 449670 + ... + 449826.

Almost surely, 270610436 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 70610436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99941478).

70610436 is an abundant number, since it is smaller than the sum of its proper divisors (129272520).

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

70610436 is a wasteful number, since it uses less digits than its factorization.

70610436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70610436 is about 8403.0016065689. The cubic root of 70610436 is about 413.3230553000.

Subtracting from 70610436 its sum of digits (27), we obtain a square (70610409 = 84032).

The spelling of 70610436 in words is "seventy million, six hundred ten thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 157 186 234 279 314 372 403 468 471 558 628 806 942 961 1116 1209 1413 1612 1884 1922 2041 2418 2826 2883 3627 3844 4082 4836 4867 5652 5766 6123 7254 8164 8649 9734 11532 12246 12493 14508 14601 17298 18369 19468 24492 24986 29202 34596 36738 37479 43803 49972 58404 63271 73476 74958 87606 112437 126542 149916 150877 175212 189813 224874 253084 301754 379626 449748 452631 569439 603508 759252 905262 1138878 1357893 1810524 1961401 2277756 2715786 3922802 5431572 5884203 7845604 11768406 17652609 23536812 35305218 70610436