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131604424 = 2373141432
BaseRepresentation
bin1111101100000…
…01111111001000
3100011122012022221
413312001333020
5232142320144
621020423424
73155422240
oct766017710
9304565287
10131604424
1168318396
12380a7b74
132135ab53
141369ab20
15b848d84
hex7d81fc8

131604424 has 96 divisors (see below), whose sum is σ = 305303040. Its totient is φ = 52012800.

The previous prime is 131604409. The next prime is 131604437. The reversal of 131604424 is 424406131.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3060547 + ... + 3060589.

It is an arithmetic number, because the mean of its divisors is an integer number (3180240).

Almost surely, 2131604424 is an apocalyptic number.

131604424 is a gapful number since it is divisible by the number (14) 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 131604424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152651520).

131604424 is an abundant number, since it is smaller than the sum of its proper divisors (173698616).

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

131604424 is a wasteful number, since it uses less digits than its factorization.

131604424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 131604424 is about 11471.8971404036. The cubic root of 131604424 is about 508.6552088727.

The spelling of 131604424 in words is "one hundred thirty-one million, six hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 41 43 56 62 82 86 124 164 172 217 248 287 301 328 344 434 574 602 868 1148 1204 1271 1333 1736 1763 1849 2296 2408 2542 2666 3526 3698 5084 5332 7052 7396 8897 9331 10168 10664 12341 12943 14104 14792 17794 18662 24682 25886 35588 37324 49364 51772 54653 57319 71176 74648 75809 98728 103544 109306 114638 151618 218612 229276 303236 382571 401233 437224 458552 530663 606472 765142 802466 1061326 1530284 1604932 2122652 2350079 3060568 3209864 4245304 4700158 9400316 16450553 18800632 32901106 65802212 131604424