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960631672 = 2372111317137
BaseRepresentation
bin111001010000100…
…001001101111000
32110221121010220211
4321100201031320
53431410203142
6235153400504
732543143300
oct7120411570
92427533824
10960631672
11453284880
12229869134
13124035010
1491820600
1559506917
hex39421378

960631672 has 96 divisors (see below), whose sum is σ = 2461702320. Its totient is φ = 345461760.

The previous prime is 960631669. The next prime is 960631723. The reversal of 960631672 is 276136069.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47488 + ... + 64624.

Almost surely, 2960631672 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 960631672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230851160).

960631672 is an abundant number, since it is smaller than the sum of its proper divisors (1501070648).

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

960631672 is a wasteful number, since it uses less digits than its factorization.

960631672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 960631672 is about 30994.0586564587. The cubic root of 960631672 is about 986.7011485595.

The spelling of 960631672 in words is "nine hundred sixty million, six hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 539 572 616 637 728 1001 1078 1144 1274 2002 2156 2548 4004 4312 5096 7007 8008 14014 17137 28028 34274 56056 68548 119959 137096 188507 222781 239918 377014 445562 479836 754028 839713 891124 959672 1319549 1508056 1559467 1679426 1782248 2450591 2639098 3118934 3358852 4901182 5278196 6237868 6717704 9236843 9802364 10556392 10916269 12475736 17154137 18473686 19604728 21832538 34308274 36947372 43665076 68616548 73894744 87330152 120078959 137233096 240157918 480315836 960631672