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130766976 = 2732113513
BaseRepresentation
bin1111100101101…
…01100010000000
3100010001122120100
413302311202000
5231434020401
620550442400
73145333554
oct762654200
9303048510
10130766976
11678a618a
1237963400
1321126912
141351d864
15b730b86
hex7cb5880

130766976 has 48 divisors (see below), whose sum is σ = 376298910. Its totient is φ = 43588608.

The previous prime is 130766971. The next prime is 130766989. The reversal of 130766976 is 679667031.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 36288576 = 9720^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (130766971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55605 + ... + 57908.

Almost surely, 2130766976 is an apocalyptic number.

130766976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130766976 is an abundant number, since it is smaller than the sum of its proper divisors (245531934).

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

130766976 is a wasteful number, since it uses less digits than its factorization.

130766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113533 (or 113518 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 130766976 is about 11435.3389105877. The cubic root of 130766976 is about 507.5739913311.

The spelling of 130766976 in words is "one hundred thirty million, seven hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 113513 227026 340539 454052 681078 908104 1021617 1362156 1816208 2043234 2724312 3632416 4086468 5448624 7264832 8172936 10897248 14529664 16345872 21794496 32691744 43588992 65383488 130766976