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131752712 = 23713712549
BaseRepresentation
bin1111101101001…
…10001100001000
3100011220201202002
413312212030020
5232212041322
621023530132
73156610460
oct766461410
9304821662
10131752712
1168409843
1238159948
13213b04b0
14136d8ba0
15b877c92
hex7da6308

131752712 has 64 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 51367680.

The previous prime is 131752711. The next prime is 131752727. The reversal of 131752712 is 217257131.

It is not an unprimeable number, because it can be changed into a prime (131752711) 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 15 ways as a sum of consecutive naturals, for example, 50414 + ... + 52962.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2131752712 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 131752712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

131752712 is an abundant number, since it is smaller than the sum of its proper divisors (176695288).

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

131752712 is a wasteful number, since it uses less digits than its factorization.

131752712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2642 counting only the distinct ones).

The product of its digits is 2940, while the sum is 29.

The square root of 131752712 is about 11478.3584192166. The cubic root of 131752712 is about 508.8461830796.

The spelling of 131752712 in words is "one hundred thirty-one million, seven hundred fifty-two thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 71 91 104 142 182 284 364 497 568 728 923 994 1846 1988 2549 3692 3976 5098 6461 7384 10196 12922 17843 20392 25844 33137 35686 51688 66274 71372 132548 142744 180979 231959 265096 361958 463918 723916 927836 1266853 1447832 1855672 2352727 2533706 4705454 5067412 9410908 10134824 16469089 18821816 32938178 65876356 131752712