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131360560 = 24513911813
BaseRepresentation
bin1111101010001…
…10011100110000
3100011011210210221
413311012130300
5232112014220
621011302424
73153355252
oct765063460
9304153727
10131360560
1168171151
1237baaa14
13212a3b56
1413635cd2
15b7eb9aa
hex7d46730

131360560 has 40 divisors (see below), whose sum is σ = 307636560. Its totient is φ = 52161792.

The previous prime is 131360557. The next prime is 131360561. The reversal of 131360560 is 65063131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131360561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5214 + ... + 17026.

It is an arithmetic number, because the mean of its divisors is an integer number (7690914).

Almost surely, 2131360560 is an apocalyptic number.

131360560 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 131360560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153818280).

131360560 is an abundant number, since it is smaller than the sum of its proper divisors (176276000).

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

131360560 is a wasteful number, since it uses less digits than its factorization.

131360560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11959 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 131360560 is about 11461.2634556579. The cubic root of 131360560 is about 508.3408339542.

The spelling of 131360560 in words is "one hundred thirty-one million, three hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 11813 23626 47252 59065 94504 118130 189008 236260 472520 945040 1642007 3284014 6568028 8210035 13136056 16420070 26272112 32840140 65680280 131360560