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130506272 = 2513313717
BaseRepresentation
bin1111100011101…
…01111000100000
3100002120101221122
413301311320200
5231402200042
620541111412
73143166521
oct761657040
9302511848
10130506272
1167738326
1237858568
1321065060
1413492848
15b6cd7d2
hex7c75e20

130506272 has 24 divisors (see below), whose sum is σ = 276699276. Its totient is φ = 60233472.

The previous prime is 130506223. The next prime is 130506287. The reversal of 130506272 is 272605031.

130506272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128958736 + 1547536 = 11356^2 + 1244^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156443 + ... + 157274.

Almost surely, 2130506272 is an apocalyptic number.

It is an amenable number.

130506272 is an abundant number, since it is smaller than the sum of its proper divisors (146193004).

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

130506272 is a wasteful number, since it uses less digits than its factorization.

130506272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313740 (or 313732 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 130506272 is about 11423.9341734798. The cubic root of 130506272 is about 507.2364580864.

The spelling of 130506272 in words is "one hundred thirty million, five hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 313717 627434 1254868 2509736 4078321 5019472 8156642 10038944 16313284 32626568 65253136 130506272