Search a number
-
+
131602896 = 24324432063
BaseRepresentation
bin1111101100000…
…01100111010000
3100011122010020100
413312001213100
5232142243041
621020412400
73155414625
oct766014720
9304563210
10131602896
1168317227
12380a7100
132135a249
141369a34c
15b8486b6
hex7d819d0

131602896 has 60 divisors (see below), whose sum is σ = 369315648. Its totient is φ = 43747392.

The previous prime is 131602859. The next prime is 131602931. The reversal of 131602896 is 698206131.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131602896.

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 11 ways as a sum of consecutive naturals, for example, 62761 + ... + 64823.

Almost surely, 2131602896 is an apocalyptic number.

131602896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131602896 is an abundant number, since it is smaller than the sum of its proper divisors (237712752).

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

131602896 is a wasteful number, since it uses less digits than its factorization.

131602896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131602896 is about 11471.8305426815. The cubic root of 131602896 is about 508.6532402758.

The spelling of 131602896 in words is "one hundred thirty-one million, six hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 443 886 1329 1772 2063 2658 3544 3987 4126 5316 6189 7088 7974 8252 10632 12378 15948 16504 18567 21264 24756 31896 33008 37134 49512 63792 74268 99024 148536 297072 913909 1827818 2741727 3655636 5483454 7311272 8225181 10966908 14622544 16450362 21933816 32900724 43867632 65801448 131602896