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130482576 = 2434719757
BaseRepresentation
bin1111100011100…
…00000110010000
3100002112012110000
413301300012100
5231400420301
620540410000
73143040450
oct761600620
9302465400
10130482576
1167721544
1237846900
1321057333
1413487d60
15b6c6786
hex7c70190

130482576 has 200 divisors, whose sum is σ = 454921280. Its totient is φ = 35271936.

The previous prime is 130482533. The next prime is 130482577. The reversal of 130482576 is 675284031.

130482576 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 82 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130482576.

It is not an unprimeable number, because it can be changed into a prime (130482577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171990 + ... + 172746.

Almost surely, 2130482576 is an apocalyptic number.

130482576 is a gapful number since it is divisible by the number (16) 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 130482576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227460640).

130482576 is an abundant number, since it is smaller than the sum of its proper divisors (324438704).

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

130482576 is a wasteful number, since it uses less digits than its factorization.

130482576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 130482576 is about 11422.8970055761. The cubic root of 130482576 is about 507.2057566178.

The spelling of 130482576 in words is "one hundred thirty million, four hundred eighty-two thousand, five hundred seventy-six".