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131715712 = 271995171
BaseRepresentation
bin1111101100111…
…01001010000000
3100011211211222201
413312131022000
5232204400322
621023042544
73156364552
oct766351200
9304754881
10131715712
1168393a67
1238140454
13213996bb
14136c94d2
15b86bd27
hex7d9d280

131715712 has 32 divisors (see below), whose sum is σ = 263772000. Its totient is φ = 65514240.

The previous prime is 131715707. The next prime is 131715713. The reversal of 131715712 is 217517131.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (131715713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22887 + ... + 28057.

It is an arithmetic number, because the mean of its divisors is an integer number (8242875).

Almost surely, 2131715712 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 131715712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131886000).

131715712 is an abundant number, since it is smaller than the sum of its proper divisors (132056288).

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

131715712 is an equidigital number, since it uses as much as digits as its factorization.

131715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5372 counting only the distinct ones).

The product of its digits is 1470, while the sum is 28.

The square root of 131715712 is about 11476.7465773189. The cubic root of 131715712 is about 508.7985456757.

The spelling of 131715712 in words is "one hundred thirty-one million, seven hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 199 398 796 1592 3184 5171 6368 10342 12736 20684 25472 41368 82736 165472 330944 661888 1029029 2058058 4116116 8232232 16464464 32928928 65857856 131715712