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1312767680 = 2657586057
BaseRepresentation
bin100111000111111…
…0011111011000000
310101111012111201012
41032033303323000
510142032031210
6334133100052
744350225010
oct11617637300
93344174635
101312767680
11614028874
12307787628
1317bc88513
14c64c5c40
157a3b3305
hex4e3f3ec0

1312767680 has 56 divisors (see below), whose sum is σ = 3572609568. Its totient is φ = 450091008.

The previous prime is 1312767667. The next prime is 1312767697. The reversal of 1312767680 is 867672131.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 290789 + ... + 295268.

Almost surely, 21312767680 is an apocalyptic number.

1312767680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312767680 is an abundant number, since it is smaller than the sum of its proper divisors (2259841888).

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

1312767680 is an equidigital number, since it uses as much as digits as its factorization.

1312767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586081 (or 586071 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 1312767680 is about 36232.1360121095. The cubic root of 1312767680 is about 1094.9542122733.

The spelling of 1312767680 in words is "one billion, three hundred twelve million, seven hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 586057 1172114 2344228 2930285 4102399 4688456 5860570 8204798 9376912 11721140 16409596 18753824 20511995 23442280 32819192 37507648 41023990 46884560 65638384 82047980 93769120 131276768 164095960 187538240 262553536 328191920 656383840 1312767680