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131383952 = 2473179479
BaseRepresentation
bin1111101010011…
…00001010010000
3100011012222220022
413311030022100
5232113241302
621012003012
73153513410
oct765141220
9304188808
10131383952
1168187787
1238000468
13212b16ab
1413640640
15b8038a2
hex7d4c290

131383952 has 80 divisors (see below), whose sum is σ = 304742400. Its totient is φ = 53688960.

The previous prime is 131383933. The next prime is 131383957. The reversal of 131383952 is 259383131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131383957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274049 + ... + 274527.

It is an arithmetic number, because the mean of its divisors is an integer number (3809280).

Almost surely, 2131383952 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 131383952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152371200).

131383952 is an abundant number, since it is smaller than the sum of its proper divisors (173358448).

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

131383952 is a wasteful number, since it uses less digits than its factorization.

131383952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 131383952 is about 11462.2838910926. The cubic root of 131383952 is about 508.3710063871.

The spelling of 131383952 in words is "one hundred thirty-one million, three hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 79 112 124 158 217 248 316 434 479 496 553 632 868 958 1106 1264 1736 1916 2212 2449 3353 3472 3832 4424 4898 6706 7664 8848 9796 13412 14849 17143 19592 26824 29698 34286 37841 39184 53648 59396 68572 75682 103943 118792 137144 151364 207886 237584 264887 274288 302728 415772 529774 605456 831544 1059548 1173071 1663088 2119096 2346142 4238192 4692284 8211497 9384568 16422994 18769136 32845988 65691976 131383952