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131204896 = 2531132263
BaseRepresentation
bin1111101001000…
…00011100100000
3100010212220021121
413310200130200
5232042024041
621004102024
73152136364
oct764403440
9303786247
10131204896
11680751a9
1237b34914
132124b044
14135d52a4
15b7ba7d1
hex7d20720

131204896 has 24 divisors (see below), whose sum is σ = 266644224. Its totient is φ = 63485760.

The previous prime is 131204893. The next prime is 131204939. The reversal of 131204896 is 698402131.

131204896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131204893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65140 + ... + 67123.

It is an arithmetic number, because the mean of its divisors is an integer number (11110176).

Almost surely, 2131204896 is an apocalyptic number.

131204896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131204896 is an abundant number, since it is smaller than the sum of its proper divisors (135439328).

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

131204896 is a wasteful number, since it uses less digits than its factorization.

131204896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132304 (or 132296 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 131204896 is about 11454.4705682978. The cubic root of 131204896 is about 508.1399577171.

The spelling of 131204896 in words is "one hundred thirty-one million, two hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 132263 264526 529052 1058104 2116208 4100153 4232416 8200306 16400612 32801224 65602448 131204896