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130932090 = 23251454801
BaseRepresentation
bin1111100110111…
…01110101111010
3100010101001001200
413303131311322
5232004311330
620554155030
73146622132
oct763356572
9303331050
10130932090
11679a9243
1237a22a76
1321183b13
1413563ac2
15b764a60
hex7cddd7a

130932090 has 24 divisors (see below), whose sum is σ = 340423668. Its totient is φ = 34915200.

The previous prime is 130932073. The next prime is 130932091. The reversal of 130932090 is 90239031.

It can be written as a sum of positive squares in 2 ways, for example, as 128119761 + 2812329 = 11319^2 + 1677^2 .

It is not an unprimeable number, because it can be changed into a prime (130932091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727311 + ... + 727490.

Almost surely, 2130932090 is an apocalyptic number.

130932090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130932090 is an abundant number, since it is smaller than the sum of its proper divisors (209491578).

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

130932090 is a wasteful number, since it uses less digits than its factorization.

130932090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454814 (or 1454811 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 130932090 is about 11442.5560955584. The cubic root of 130932090 is about 507.7875323077.

The spelling of 130932090 in words is "one hundred thirty million, nine hundred thirty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1454801 2909602 4364403 7274005 8728806 13093209 14548010 21822015 26186418 43644030 65466045 130932090