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1116708960 = 253516713931
BaseRepresentation
bin100001010001111…
…1010000001100000
32212211021200201010
41002203322001200
54241334141320
6302450540520
736446604153
oct10243720140
92784250633
101116708960
11523397a74
12271b97740
1314a481143
14a844bc9a
1568086ae0
hex428fa060

1116708960 has 96 divisors (see below), whose sum is σ = 3538950912. Its totient is φ = 295984640.

The previous prime is 1116708953. The next prime is 1116708973. The reversal of 1116708960 is 698076111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 73195 + ... + 87125.

It is an arithmetic number, because the mean of its divisors is an integer number (36864072).

Almost surely, 21116708960 is an apocalyptic number.

1116708960 is a gapful number since it is divisible by the number (10) 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 1116708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769475456).

1116708960 is an abundant number, since it is smaller than the sum of its proper divisors (2422241952).

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

1116708960 is a wasteful number, since it uses less digits than its factorization.

1116708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116 (or 14108 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 1116708960 is about 33417.1955735367. The cubic root of 1116708960 is about 1037.4806375638.

The spelling of 1116708960 in words is "one billion, one hundred sixteen million, seven hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13360 13931 16032 20040 26720 27862 40080 41793 55724 69655 80160 83586 111448 139310 167172 208965 222896 278620 334344 417930 445792 557240 668688 835860 1114480 1337376 1671720 2228960 2326477 3343440 4652954 6686880 6979431 9305908 11632385 13958862 18611816 23264770 27917724 34897155 37223632 46529540 55835448 69794310 74447264 93059080 111670896 139588620 186118160 223341792 279177240 372236320 558354480 1116708960