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1316287264 = 252947103293
BaseRepresentation
bin100111001110100…
…1111001100100000
310101201211022200011
41032131033030200
510143432143024
6334340334304
744422154125
oct11635171440
93351738604
101316287264
11616012116
123089a4394
1317c91b506
14c6b6074c
157a85b094
hex4e74f320

1316287264 has 96 divisors (see below), whose sum is σ = 2773854720. Its totient is φ = 613788672.

The previous prime is 1316287261. The next prime is 1316287279. The reversal of 1316287264 is 4627826131.

It is a super-2 number, since 2×13162872642 = 3465224322737211392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1316287261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4492302 + ... + 4492594.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 21316287264 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 1316287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

1316287264 is an abundant number, since it is smaller than the sum of its proper divisors (1457567456).

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

1316287264 is a wasteful number, since it uses less digits than its factorization.

1316287264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 1316287264 is about 36280.6734226365. The cubic root of 1316287264 is about 1095.9318781252.

The spelling of 1316287264 in words is "one billion, three hundred sixteen million, two hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 47 58 94 103 116 188 206 232 293 376 412 464 586 752 824 928 1172 1363 1504 1648 2344 2726 2987 3296 4688 4841 5452 5974 8497 9376 9682 10904 11948 13771 16994 19364 21808 23896 27542 30179 33988 38728 43616 47792 55084 60358 67976 77456 95584 110168 120716 135952 140389 154912 220336 241432 271904 280778 399359 440672 482864 561556 798718 875191 965728 1123112 1418413 1597436 1750382 2246224 2836826 3194872 3500764 4492448 5673652 6389744 7001528 11347304 12779488 14003056 22694608 28006112 41133977 45389216 82267954 164535908 329071816 658143632 1316287264