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130479552 = 2633722367
BaseRepresentation
bin1111100011011…
…11010111000000
3100002112001022000
413301233113000
5231400321202
620540344000
73143025600
oct761572700
9302461260
10130479552
116771a245
1237845000
1321055b48
1413486c00
15b6c591c
hex7c6f5c0

130479552 has 336 divisors, whose sum is σ = 472561920. Its totient is φ = 35126784.

The previous prime is 130479551. The next prime is 130479599. The reversal of 130479552 is 255974031.

130479552 is a `hidden beast` number, since 1 + 30 + 4 + 79 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130479551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1947423 + ... + 1947489.

Almost surely, 2130479552 is an apocalyptic number.

130479552 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 130479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236280960).

130479552 is an abundant number, since it is smaller than the sum of its proper divisors (342082368).

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

130479552 is a wasteful number, since it uses less digits than its factorization.

130479552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 130479552 is about 11422.7646390880. The cubic root of 130479552 is about 507.2018383372.

The spelling of 130479552 in words is "one hundred thirty million, four hundred seventy-nine thousand, five hundred fifty-two".