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131096136 = 23323534481
BaseRepresentation
bin1111101000001…
…01111001001000
3100010200101002110
413310011321020
5232030034021
621001502320
73151204323
oct764057110
9303611073
10131096136
1168000516
1237aa19a0
13212106a2
14135a77ba
15b798476
hex7d05e48

131096136 has 64 divisors (see below), whose sum is σ = 348520320. Its totient is φ = 41000960.

The previous prime is 131096089. The next prime is 131096167. The reversal of 131096136 is 631690131.

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, 27016 + ... + 31496.

It is an arithmetic number, because the mean of its divisors is an integer number (5445630).

Almost surely, 2131096136 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 131096136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174260160).

131096136 is an abundant number, since it is smaller than the sum of its proper divisors (217424184).

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

131096136 is a wasteful number, since it uses less digits than its factorization.

131096136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 131096136 is about 11449.7220926973. The cubic root of 131096136 is about 507.9995143319. Note that the first 3 decimals are identical.

The spelling of 131096136 in words is "one hundred thirty-one million, ninety-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2438 3657 4481 4876 7314 8962 9752 13443 14628 17924 26886 29256 35848 53772 103063 107544 206126 237493 309189 412252 474986 618378 712479 824504 949972 1236756 1424958 1899944 2473512 2849916 5462339 5699832 10924678 16387017 21849356 32774034 43698712 65548068 131096136