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1311896320 = 2857146417
BaseRepresentation
bin100111000110001…
…1111001100000000
310101102120020102121
41032030133030000
510141321140240
6334102254024
744336635420
oct11614371400
93342506377
101311896320
11613593139
12307427314
1317ba41a17
14c633a480
157a29004a
hex4e31f300

1311896320 has 72 divisors (see below), whose sum is σ = 3591340704. Its totient is φ = 449789952.

The previous prime is 1311896303. The next prime is 1311896321. The reversal of 1311896320 is 236981131.

It is not an unprimeable number, because it can be changed into a prime (1311896321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64249 + ... + 82168.

It is an arithmetic number, because the mean of its divisors is an integer number (49879732).

Almost surely, 21311896320 is an apocalyptic number.

1311896320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311896320 is an abundant number, since it is smaller than the sum of its proper divisors (2279444384).

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

1311896320 is an equidigital number, since it uses as much as digits as its factorization.

1311896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146445 (or 146431 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1311896320 is about 36220.1093316958. The cubic root of 1311896320 is about 1094.7118971270.

The spelling of 1311896320 in words is "one billion, three hundred eleven million, eight hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 146417 292834 585668 732085 1024919 1171336 1464170 2049838 2342672 2928340 4099676 4685344 5124595 5856680 8199352 9370688 10249190 11713360 16398704 18741376 20498380 23426720 32797408 37482752 40996760 46853440 65594816 81993520 93706880 131189632 163987040 187413760 262379264 327974080 655948160 1311896320