Search a number
-
+
131604516 = 22323655681
BaseRepresentation
bin1111101100000…
…10000000100100
3100011122012110100
413312002000210
5232142321031
621020424100
73155422431
oct766020044
9304565410
10131604516
116831846a
12380a8030
132135abc4
141369ab88
15b848de6
hex7d82024

131604516 has 18 divisors (see below), whose sum is σ = 332667062. Its totient is φ = 43868160.

The previous prime is 131604491. The next prime is 131604541. The reversal of 131604516 is 615406131.

131604516 is a `hidden beast` number, since 1 + 3 + 1 + 604 + 51 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (131604491) and next prime (131604541).

It can be written as a sum of positive squares in only one way, i.e., 89302500 + 42302016 = 9450^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×1316045164 (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131604516.

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, 1827805 + ... + 1827876.

Almost surely, 2131604516 is an apocalyptic number.

It is an amenable number.

131604516 is an abundant number, since it is smaller than the sum of its proper divisors (201062546).

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

131604516 is a wasteful number, since it uses less digits than its factorization.

131604516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655691 (or 3655686 counting only the distinct ones).

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

The square root of 131604516 is about 11471.9011502017. The cubic root of 131604516 is about 508.6553274003.

The spelling of 131604516 in words is "one hundred thirty-one million, six hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3655681 7311362 10967043 14622724 21934086 32901129 43868172 65802258 131604516