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131484392 = 231317312399
BaseRepresentation
bin1111101011001…
…00101011101000
3100011102002200022
413311210223220
5232130000032
621014100012
73154412264
oct765445350
9304362608
10131484392
1168246196
123804a608
1321318320
14136690a4
15b823512
hex7d64ae8

131484392 has 64 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 55249920.

The previous prime is 131484383. The next prime is 131484401. The reversal of 131484392 is 293484131.

It is an interprime number because it is at equal distance from previous prime (131484383) and next prime (131484401).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53609 + ... + 56007.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2131484392 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 131484392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

131484392 is an abundant number, since it is smaller than the sum of its proper divisors (158819608).

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

131484392 is a wasteful number, since it uses less digits than its factorization.

131484392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2462 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 131484392 is about 11466.6643798447. The cubic root of 131484392 is about 508.5005193579.

The spelling of 131484392 in words is "one hundred thirty-one million, four hundred eighty-four thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 403 442 527 806 884 1054 1612 1768 2108 2399 3224 4216 4798 6851 9596 13702 19192 27404 31187 40783 54808 62374 74369 81566 124748 148738 163132 249496 297476 326264 530179 594952 966797 1060358 1264273 1933594 2120716 2528546 3867188 4241432 5057092 7734376 10114184 16435549 32871098 65742196 131484392