Search a number
-
+
131196 = 22313292
BaseRepresentation
bin100000000001111100
320122222010
4200001330
513144241
62451220
71054332
oct400174
9218863
10131196
118a62a
1263b10
1347940
1435b52
1528d16
hex2007c

131196 has 36 divisors (see below), whose sum is σ = 341432. Its totient is φ = 38976.

The previous prime is 131171. The next prime is 131203. The reversal of 131196 is 691131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

131196 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 11 ways as a sum of consecutive naturals, for example, 4510 + ... + 4538.

2131196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170716).

131196 is an abundant number, since it is smaller than the sum of its proper divisors (210236).

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

131196 is a wasteful number, since it uses less digits than its factorization.

131196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its digits is 162, while the sum is 21.

The square root of 131196 is about 362.2098839071. The cubic root of 131196 is about 50.8128473097.

The spelling of 131196 in words is "one hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 841 1131 1508 1682 2262 2523 3364 4524 5046 10092 10933 21866 32799 43732 65598 131196