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131715552 = 2531937109
BaseRepresentation
bin1111101100111…
…01000111100000
3100011211211202210
413312131013200
5232204344202
621023042120
73156364233
oct766350740
9304754683
10131715552
1168393931
1238140340
13213995c7
14136c941a
15b86bc6c
hex7d9d1e0

131715552 has 48 divisors (see below), whose sum is σ = 347593680. Its totient is φ = 43671552.

The previous prime is 131715527. The next prime is 131715557. The reversal of 131715552 is 255517131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131715557) 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, 14974 + ... + 22082.

It is an arithmetic number, because the mean of its divisors is an integer number (7241535).

Almost surely, 2131715552 is an apocalyptic number.

131715552 is a gapful number since it is divisible by the number (12) 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 131715552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173796840).

131715552 is an abundant number, since it is smaller than the sum of its proper divisors (215878128).

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

131715552 is a wasteful number, since it uses less digits than its factorization.

131715552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7307 counting only the distinct ones).

The product of its digits is 5250, while the sum is 30.

The square root of 131715552 is about 11476.7396067002. The cubic root of 131715552 is about 508.7983396568.

The spelling of 131715552 in words is "one hundred thirty-one million, seven hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 6176 7109 9264 14218 18528 21327 28436 42654 56872 85308 113744 170616 227488 341232 682464 1372037 2744074 4116111 5488148 8232222 10976296 16464444 21952592 32928888 43905184 65857776 131715552