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1315392 = 263131731
BaseRepresentation
bin101000001001001000000
32110211101020
411001021000
5314043032
644105440
714115651
oct5011100
92424336
101315392
11819301
12535280
13370950
14263528
151aeb2c
hex141240

1315392 has 112 divisors (see below), whose sum is σ = 4096512. Its totient is φ = 368640.

The previous prime is 1315373. The next prime is 1315397. The reversal of 1315392 is 2935131.

It is a happy number.

It is a super-2 number, since 2×13153922 = 3460512227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42417 + ... + 42447.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

21315392 is an apocalyptic number.

1315392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256).

1315392 is an abundant number, since it is smaller than the sum of its proper divisors (2781120).

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

1315392 is a wasteful number, since it uses less digits than its factorization.

1315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 1315392 is about 1146.9054015044. The cubic root of 1315392 is about 109.5683358189.

The spelling of 1315392 in words is "one million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 31 32 34 39 48 51 52 62 64 68 78 93 96 102 104 124 136 156 186 192 204 208 221 248 272 312 372 403 408 416 442 496 527 544 624 663 744 806 816 832 884 992 1054 1088 1209 1248 1326 1488 1581 1612 1632 1768 1984 2108 2418 2496 2652 2976 3162 3224 3264 3536 4216 4836 5304 5952 6324 6448 6851 7072 8432 9672 10608 12648 12896 13702 14144 16864 19344 20553 21216 25296 25792 27404 33728 38688 41106 42432 50592 54808 77376 82212 101184 109616 164424 219232 328848 438464 657696 1315392