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131841920 = 275729429
BaseRepresentation
bin1111101101110…
…11111110000000
3100012002021010002
413312323332000
5232222420140
621025455132
73160431530
oct766737600
9305067102
10131841920
116846a871
12381a14a8
1321411c92
141371d4c0
15b894415
hex7dbbf80

131841920 has 64 divisors (see below), whose sum is σ = 360223200. Its totient is φ = 45201408.

The previous prime is 131841907. The next prime is 131841929. The reversal of 131841920 is 29148131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131841929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10235 + ... + 19194.

Almost surely, 2131841920 is an apocalyptic number.

131841920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131841920 is an abundant number, since it is smaller than the sum of its proper divisors (228381280).

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

131841920 is an equidigital number, since it uses as much as digits as its factorization.

131841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29455 (or 29443 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 131841920 is about 11482.2436831832. The cubic root of 131841920 is about 508.9610014856.

The spelling of 131841920 in words is "one hundred thirty-one million, eight hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 29429 58858 117716 147145 206003 235432 294290 412006 470864 588580 824012 941728 1030015 1177160 1648024 1883456 2060030 2354320 3296048 3766912 4120060 4708640 6592096 8240120 9417280 13184192 16480240 18834560 26368384 32960480 65920960 131841920