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131512832 = 2911191229
BaseRepresentation
bin1111101011010…
…11101000000000
3100011110112200122
413311223220000
5232131402312
621014435412
73154561223
oct765535000
9304415618
10131512832
11682655a0
1238062b68
1321328259
14136755ba
15b82bb72
hex7d6ba00

131512832 has 80 divisors (see below), whose sum is σ = 301989600. Its totient is φ = 56586240.

The previous prime is 131512793. The next prime is 131512841. The reversal of 131512832 is 238215131.

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 7 ways as a sum of consecutive naturals, for example, 106394 + ... + 107622.

It is an arithmetic number, because the mean of its divisors is an integer number (3774870).

Almost surely, 2131512832 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 131512832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994800).

131512832 is an abundant number, since it is smaller than the sum of its proper divisors (170476768).

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

131512832 is a wasteful number, since it uses less digits than its factorization.

131512832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1261 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 131512832 is about 11467.9044293192. The cubic root of 131512832 is about 508.5371795069.

Adding to 131512832 its reverse (238215131), we get a palindrome (369727963).

The spelling of 131512832 in words is "one hundred thirty-one million, five hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1216 1229 1408 1672 2432 2458 2816 3344 4864 4916 5632 6688 9728 9832 13376 13519 19664 23351 26752 27038 39328 46702 53504 54076 78656 93404 107008 108152 157312 186808 216304 256861 314624 373616 432608 513722 629248 747232 865216 1027444 1494464 1730432 2054888 2988928 3460864 4109776 5977856 6921728 8219552 11955712 16439104 32878208 65756416 131512832