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1312156980 = 223258638447
BaseRepresentation
bin100111000110101…
…1110110100110100
310101110001110222200
41032031132310310
510141403010410
6334112024500
744342102361
oct11615366464
93343043880
101312156980
11613750a62
12307532130
1317bb03564
14c63a7468
157a2e23c0
hex4e35ed34

1312156980 has 72 divisors (see below), whose sum is σ = 3985293312. Its totient is φ = 349461696.

The previous prime is 1312156973. The next prime is 1312156981. The reversal of 1312156980 is 896512131.

1312156980 is a `hidden beast` number, since 1 + 3 + 12 + 1 + 569 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312156981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 151117 + ... + 159563.

It is an arithmetic number, because the mean of its divisors is an integer number (55351296).

Almost surely, 21312156980 is an apocalyptic number.

1312156980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312156980 is an abundant number, since it is smaller than the sum of its proper divisors (2673136332).

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

1312156980 is a wasteful number, since it uses less digits than its factorization.

1312156980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1312156980 is about 36223.7074303556. The cubic root of 1312156980 is about 1094.7843949056.

The spelling of 1312156980 in words is "one billion, three hundred twelve million, one hundred fifty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 863 1726 2589 3452 4315 5178 7767 8447 8630 10356 12945 15534 16894 17260 25341 25890 31068 33788 38835 42235 50682 51780 76023 77670 84470 101364 126705 152046 155340 168940 253410 304092 380115 506820 760230 1520460 7289761 14579522 21869283 29159044 36448805 43738566 65607849 72897610 87477132 109346415 131215698 145795220 218692830 262431396 328039245 437385660 656078490 1312156980