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131927792 = 2419372317
BaseRepresentation
bin1111101110100…
…00111011110000
3100012020121220112
413313100323300
5232233142132
621031400452
73161240063
oct767207360
9305217815
10131927792
1168519337
1238223128
13214420a9
14137428da
15b8aeab2
hex7dd0ef0

131927792 has 60 divisors (see below), whose sum is σ = 277404120. Its totient is φ = 60611328.

The previous prime is 131927777. The next prime is 131927843. The reversal of 131927792 is 297729131.

131927792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416018 + ... + 416334.

It is an arithmetic number, because the mean of its divisors is an integer number (4623402).

Almost surely, 2131927792 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 131927792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138702060).

131927792 is an abundant number, since it is smaller than the sum of its proper divisors (145476328).

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

131927792 is a wasteful number, since it uses less digits than its factorization.

131927792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 375 counting only the distinct ones).

The product of its digits is 47628, while the sum is 41.

The square root of 131927792 is about 11485.9824133593. The cubic root of 131927792 is about 509.0714772577.

The spelling of 131927792 in words is "one hundred thirty-one million, nine hundred twenty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 317 592 634 703 1268 1369 1406 2536 2738 2812 5072 5476 5624 6023 10952 11248 11729 12046 21904 23458 24092 26011 46916 48184 52022 93832 96368 104044 187664 208088 222851 416176 433973 445702 867946 891404 1735892 1782808 3471784 3565616 6943568 8245487 16490974 32981948 65963896 131927792