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130468932 = 223211571577
BaseRepresentation
bin1111100011011…
…00110001000100
3100002111111201200
413301230301010
5231400001212
620540222500
73142652616
oct761546104
9302444650
10130468932
1167712270
123783aa30
1321051069
1413482db6
15b6c26dc
hex7c6cc44

130468932 has 72 divisors (see below), whose sum is σ = 361032672. Its totient is φ = 39398400.

The previous prime is 130468907. The next prime is 130468937. The reversal of 130468932 is 239864031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130468937) 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 23 ways as a sum of consecutive naturals, for example, 225828 + ... + 226404.

Almost surely, 2130468932 is an apocalyptic number.

130468932 is a gapful number since it is divisible by the number (12) 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 130468932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180516336).

130468932 is an abundant number, since it is smaller than the sum of its proper divisors (230563740).

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

130468932 is a wasteful number, since it uses less digits than its factorization.

130468932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 130468932 is about 11422.2997684354. The cubic root of 130468932 is about 507.1880772290.

The spelling of 130468932 in words is "one hundred thirty million, four hundred sixty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 571 577 1142 1154 1713 1731 2284 2308 3426 3462 5139 5193 6281 6347 6852 6924 10278 10386 12562 12694 18843 19041 20556 20772 25124 25388 37686 38082 56529 57123 75372 76164 113058 114246 226116 228492 329467 658934 988401 1317868 1976802 2965203 3624137 3953604 5930406 7248274 10872411 11860812 14496548 21744822 32617233 43489644 65234466 130468932