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131160 = 23351093
BaseRepresentation
bin100000000001011000
320122220210
4200001120
513144120
62451120
71054251
oct400130
9218823
10131160
118a5a7
1263aa0
1347913
1435b28
1528ce0
hex20058

131160 has 32 divisors (see below), whose sum is σ = 393840. Its totient is φ = 34944.

The previous prime is 131149. The next prime is 131171. The reversal of 131160 is 61131.

It is an interprime number because it is at equal distance from previous prime (131149) and next prime (131171).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131160.

It is an unprimeable number.

131160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 666.

2131160 is an apocalyptic number.

131160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131160 is an abundant number, since it is smaller than the sum of its proper divisors (262680).

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

131160 is a wasteful number, since it uses less digits than its factorization.

131160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131160 is about 362.1601855533. The cubic root of 131160 is about 50.8081992263.

Adding to 131160 its reverse (61131), we get a palindrome (192291).

The spelling of 131160 in words is "one hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1093 2186 3279 4372 5465 6558 8744 10930 13116 16395 21860 26232 32790 43720 65580 131160