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131849920 = 265412031
BaseRepresentation
bin1111101101111…
…01111011000000
3100012002200002101
413312331323000
5232223144140
621030000144
73160464046
oct766757300
9305080071
10131849920
1168475884
12381a6054
1321415807
1413722396
15b89699a
hex7dbdec0

131849920 has 28 divisors (see below), whose sum is σ = 313968384. Its totient is φ = 52739840.

The previous prime is 131849867. The next prime is 131849929. The reversal of 131849920 is 29948131.

It is a self number, because there is not a number n which added to its sum of digits gives 131849920.

It is not an unprimeable number, because it can be changed into a prime (131849929) 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 3 ways as a sum of consecutive naturals, for example, 205696 + ... + 206335.

Almost surely, 2131849920 is an apocalyptic number.

131849920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131849920 is an abundant number, since it is smaller than the sum of its proper divisors (182118464).

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

131849920 is an equidigital number, since it uses as much as digits as its factorization.

131849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412048 (or 412038 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 131849920 is about 11482.5920418693. The cubic root of 131849920 is about 508.9712956461.

It can be divided in two parts, 13184 and 9920, that added together give a square (23104 = 1522).

The spelling of 131849920 in words is "one hundred thirty-one million, eight hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 412031 824062 1648124 2060155 3296248 4120310 6592496 8240620 13184992 16481240 26369984 32962480 65924960 131849920