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131216256 = 2732113903
BaseRepresentation
bin1111101001000…
…11001110000000
3100010220110212100
413310203032000
5232042410011
621004230400
73152214453
oct764431600
9303813770
10131216256
1168082796
1237b3b400
1321253272
14135d949a
15b7bdd56
hex7d23380

131216256 has 48 divisors (see below), whose sum is σ = 377591760. Its totient is φ = 43738368.

The previous prime is 131216231. The next prime is 131216279. The reversal of 131216256 is 652612131.

131216256 is a `hidden beast` number, since 1 + 31 + 2 + 1 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55800 + ... + 58103.

It is an arithmetic number, because the mean of its divisors is an integer number (7866495).

Almost surely, 2131216256 is an apocalyptic number.

131216256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131216256 is an abundant number, since it is smaller than the sum of its proper divisors (246375504).

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

131216256 is a wasteful number, since it uses less digits than its factorization.

131216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113923 (or 113908 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 131216256 is about 11454.9664338225. The cubic root of 131216256 is about 508.1546225746.

Adding to 131216256 its reverse (652612131), we get a palindrome (783828387).

The spelling of 131216256 in words is "one hundred thirty-one million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 113903 227806 341709 455612 683418 911224 1025127 1366836 1822448 2050254 2733672 3644896 4100508 5467344 7289792 8201016 10934688 14579584 16402032 21869376 32804064 43738752 65608128 131216256