Search a number
-
+
131720160 = 2535111319101
BaseRepresentation
bin1111101100111…
…10001111100000
3100011212002002110
413312132033200
5232210021120
621023115320
73156413535
oct766361740
9304762073
10131720160
1168397340
1238142b40
132139b730
14136cad8c
15b86d2e0
hex7d9e3e0

131720160 has 384 divisors, whose sum is σ = 518192640. Its totient is φ = 27648000.

The previous prime is 131720129. The next prime is 131720161. The reversal of 131720160 is 61027131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131720161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304110 + ... + 1304210.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2131720160 is an apocalyptic number.

131720160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

131720160 is an abundant number, since it is smaller than the sum of its proper divisors (386472480).

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

131720160 is a wasteful number, since it uses less digits than its factorization.

131720160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 131720160 is about 11476.9403588239. The cubic root of 131720160 is about 508.8042729359.

Adding to 131720160 its reverse (61027131), we get a palindrome (192747291).

The spelling of 131720160 in words is "one hundred thirty-one million, seven hundred twenty thousand, one hundred sixty".