Search a number
-
+
131981920 = 2557117841
BaseRepresentation
bin1111101110111…
…10001001100000
3100012100101011021
413313132021200
5232241410140
621032455224
73161553640
oct767361140
9305311137
10131981920
1168555a74
123824a514
1321460915
1413758520
15b8c0b4a
hex7dde260

131981920 has 48 divisors (see below), whose sum is σ = 356354208. Its totient is φ = 45250560.

The previous prime is 131981917. The next prime is 131981933. The reversal of 131981920 is 29189131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57801 + ... + 60040.

It is an arithmetic number, because the mean of its divisors is an integer number (7424046).

Almost surely, 2131981920 is an apocalyptic number.

131981920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131981920 is an abundant number, since it is smaller than the sum of its proper divisors (224372288).

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

131981920 is a wasteful number, since it uses less digits than its factorization.

131981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117863 (or 117855 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 131981920 is about 11488.3384351263. The cubic root of 131981920 is about 509.1410892095.

The spelling of 131981920 in words is "one hundred thirty-one million, nine hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 117841 235682 471364 589205 824887 942728 1178410 1649774 1885456 2356820 3299548 3770912 4124435 4713640 6599096 8248870 9427280 13198192 16497740 18854560 26396384 32995480 65990960 131981920