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961355070 = 2325131994129
BaseRepresentation
bin111001010011010…
…001110100111110
32110222221220020100
4321103101310332
53432101330240
6235221101530
732552245314
oct7123216476
92428856210
10961355070
11453729325
12229b578a6
13124229370
149196c0b4
15595eae30
hex394d1d3e

961355070 has 96 divisors (see below), whose sum is σ = 2705976000. Its totient is φ = 235395072.

The previous prime is 961355063. The next prime is 961355093. The reversal of 961355070 is 70553169.

It is a happy number.

961355070 is a `hidden beast` number, since 96 + 13 + 550 + 7 + 0 = 666.

It is a super-2 number, since 2×9613550702 = 1848407141229409800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230766 + ... + 234894.

It is an arithmetic number, because the mean of its divisors is an integer number (28187250).

Almost surely, 2961355070 is an apocalyptic number.

961355070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 961355070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352988000).

961355070 is an abundant number, since it is smaller than the sum of its proper divisors (1744620930).

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

961355070 is a wasteful number, since it uses less digits than its factorization.

961355070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 961355070 is about 31005.7264065850. The cubic root of 961355070 is about 986.9487629035.

The spelling of 961355070 in words is "nine hundred sixty-one million, three hundred fifty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 199 234 390 398 585 597 995 1170 1194 1791 1990 2587 2985 3582 4129 5174 5970 7761 8258 8955 12387 12935 15522 17910 20645 23283 24774 25870 37161 38805 41290 46566 53677 61935 74322 77610 107354 116415 123870 161031 185805 232830 268385 322062 371610 483093 536770 805155 821671 966186 1610310 1643342 2415465 2465013 4108355 4830930 4930026 7395039 8216710 10681723 12325065 14790078 21363446 24650130 32045169 36975195 53408615 64090338 73950390 96135507 106817230 160225845 192271014 320451690 480677535 961355070