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131092728 = 23313894721
BaseRepresentation
bin1111101000001…
…01000011111000
3100010200012102020
413310011003320
5232024431403
621001434440
73151161354
oct764050370
9303605366
10131092728
1167aa89a8
1237a9ba20
132120bc80
14135a6464
15b797453
hex7d050f8

131092728 has 64 divisors (see below), whose sum is σ = 356983200. Its totient is φ = 39874560.

The previous prime is 131092693. The next prime is 131092747. The reversal of 131092728 is 827290131.

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 15 ways as a sum of consecutive naturals, for example, 25408 + ... + 30128.

Almost surely, 2131092728 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 131092728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178491600).

131092728 is an abundant number, since it is smaller than the sum of its proper divisors (225890472).

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

131092728 is a wasteful number, since it uses less digits than its factorization.

131092728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 131092728 is about 11449.5732671572. The cubic root of 131092728 is about 507.9951122765.

The spelling of 131092728 in words is "one hundred thirty-one million, ninety-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 534 712 1068 1157 2136 2314 3471 4628 4721 6942 9256 9442 13884 14163 18884 27768 28326 37768 56652 61373 113304 122746 184119 245492 368238 420169 490984 736476 840338 1260507 1472952 1680676 2521014 3361352 5042028 5462197 10084056 10924394 16386591 21848788 32773182 43697576 65546364 131092728