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130313872 = 2413248193
BaseRepresentation
bin1111100010001…
…10111010010000
3100002012122000201
413301012322100
5231330020442
620533024544
73141435553
oct761067220
9302178021
10130313872
1167616817
1237785154
1320cc8600
141344269a
15b6917b7
hex7c46e90

130313872 has 30 divisors (see below), whose sum is σ = 273404562. Its totient is φ = 60143616.

The previous prime is 130313809. The next prime is 130313879. The reversal of 130313872 is 278313031.

It can be written as a sum of positive squares in 3 ways, for example, as 2262016 + 128051856 = 1504^2 + 11316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130313872.

It is not an unprimeable number, because it can be changed into a prime (130313879) 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 5 ways as a sum of consecutive naturals, for example, 21393 + ... + 26800.

Almost surely, 2130313872 is an apocalyptic number.

It is an amenable number.

130313872 is an abundant number, since it is smaller than the sum of its proper divisors (143090690).

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

130313872 is a wasteful number, since it uses less digits than its factorization.

130313872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48227 (or 48208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 130313872 is about 11415.5101506678. The cubic root of 130313872 is about 506.9870695804.

The spelling of 130313872 in words is "one hundred thirty million, three hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 48193 96386 192772 385544 626509 771088 1253018 2506036 5012072 8144617 10024144 16289234 32578468 65156936 130313872