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131962968 = 23321832819
BaseRepresentation
bin1111101110110…
…01100001011000
3100012022102011100
413313121201120
5232240303333
621032231400
73161444454
oct767314130
9305272140
10131962968
1168542805
123823b560
13214550c7
1413751664
15b8ba213
hex7dd9858

131962968 has 24 divisors (see below), whose sum is σ = 357399900. Its totient is φ = 43987632.

The previous prime is 131962967. The next prime is 131962997. The reversal of 131962968 is 869269131.

It is a happy number.

131962968 is a `hidden beast` number, since 1 + 3 + 19 + 629 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131962967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 916338 + ... + 916481.

Almost surely, 2131962968 is an apocalyptic number.

131962968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131962968 is an abundant number, since it is smaller than the sum of its proper divisors (225436932).

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

131962968 is a wasteful number, since it uses less digits than its factorization.

131962968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832831 (or 1832824 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 131962968 is about 11487.5135690888. The cubic root of 131962968 is about 509.1167179325.

The spelling of 131962968 in words is "one hundred thirty-one million, nine hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1832819 3665638 5498457 7331276 10996914 14662552 16495371 21993828 32990742 43987656 65981484 131962968