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1312986324 = 22313113211353
BaseRepresentation
bin100111001000010…
…1001010011010100
310101111121121122010
41032100221103110
510142111030244
6334141504220
744352125316
oct11620512324
93344547563
101312986324
11614168071
12307872070
1317c033bb0
14c65417b6
157a407eb9
hex4e4294d4

1312986324 has 96 divisors (see below), whose sum is σ = 3353745024. Its totient is φ = 397393920.

The previous prime is 1312986251. The next prime is 1312986341. The reversal of 1312986324 is 4236892131.

It is a super-2 number, since 2×13129863242 = 3447866174022065952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3719332 + ... + 3719684.

It is an arithmetic number, because the mean of its divisors is an integer number (34934844).

Almost surely, 21312986324 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 1312986324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676872512).

1312986324 is an abundant number, since it is smaller than the sum of its proper divisors (2040758700).

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

1312986324 is a wasteful number, since it uses less digits than its factorization.

1312986324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 1312986324 is about 36235.1531527052. The cubic root of 1312986324 is about 1095.0149978138.

The spelling of 1312986324 in words is "one billion, three hundred twelve million, nine hundred eighty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 211 226 339 353 422 452 633 678 706 844 1059 1266 1356 1412 1469 2118 2532 2743 2938 4236 4407 4589 5486 5876 8229 8814 9178 10972 13767 16458 17628 18356 23843 27534 32916 39889 47686 55068 71529 74483 79778 95372 119667 143058 148966 159556 223449 239334 286116 297932 309959 446898 478668 518557 619918 893796 929877 968279 1037114 1239836 1555671 1859754 1936558 2074228 2904837 3111342 3719508 3873116 5809674 6222684 8416579 11619348 16833158 25249737 33666316 50499474 100998948 109415527 218831054 328246581 437662108 656493162 1312986324