Search a number
-
+
131942920 = 23541431871
BaseRepresentation
bin1111101110101…
…00101000001000
3100012021101122211
413313110220020
5232234133140
621031554504
73161332144
oct767245010
9305241584
10131942920
116852973a
123822ba34
1321448c45
1413748224
15b8b42ea
hex7dd4a08

131942920 has 64 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 50265600.

The previous prime is 131942903. The next prime is 131942929. The reversal of 131942920 is 29249131.

It is not an unprimeable number, because it can be changed into a prime (131942929) 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, 69585 + ... + 71455.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2131942920 is an apocalyptic number.

131942920 is a gapful number since it is divisible by the number (10) 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 131942920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

131942920 is an abundant number, since it is smaller than the sum of its proper divisors (179408120).

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

131942920 is a wasteful number, since it uses less digits than its factorization.

131942920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 131942920 is about 11486.6409363225. The cubic root of 131942920 is about 509.0909347171.

The spelling of 131942920 in words is "one hundred thirty-one million, nine hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 205 215 328 344 410 430 820 860 1640 1720 1763 1871 3526 3742 7052 7484 8815 9355 14104 14968 17630 18710 35260 37420 70520 74840 76711 80453 153422 160906 306844 321812 383555 402265 613688 643624 767110 804530 1534220 1609060 3068440 3218120 3298573 6597146 13194292 16492865 26388584 32985730 65971460 131942920