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130766272 = 2671322453
BaseRepresentation
bin1111100101101…
…01010111000000
3100010001121121021
413302311113000
5231434010042
620550435224
73145331530
oct762652700
9303047537
10130766272
11678a56aa
1237962b14
13211264c0
141351d4c0
15b730867
hex7cb55c0

130766272 has 56 divisors (see below), whose sum is σ = 319385696. Its totient is φ = 51729408.

The previous prime is 130766269. The next prime is 130766281. The reversal of 130766272 is 272667031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5403 + ... + 17050.

It is an arithmetic number, because the mean of its divisors is an integer number (5703316).

Almost surely, 2130766272 is an apocalyptic number.

It is an amenable number.

130766272 is an abundant number, since it is smaller than the sum of its proper divisors (188619424).

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

130766272 is a wasteful number, since it uses less digits than its factorization.

130766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22485 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 130766272 is about 11435.3081287738. The cubic root of 130766272 is about 507.5730804673.

The spelling of 130766272 in words is "one hundred thirty million, seven hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 22453 44906 89812 157171 179624 291889 314342 359248 583778 628684 718496 1167556 1257368 1436992 2043223 2335112 2514736 4086446 4670224 5029472 8172892 9340448 10058944 16345784 18680896 32691568 65383136 130766272