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130764357 = 32171097841
BaseRepresentation
bin1111100101101…
…00111001000101
3100010001111222100
413302310321011
5231433424412
620550422313
73145323123
oct762647105
9303044870
10130764357
11678a4219
1237961999
1321125679
141351c913
15b72eedc
hex7cb4e45

130764357 has 24 divisors (see below), whose sum is σ = 201853080. Its totient is φ = 81285120.

The previous prime is 130764343. The next prime is 130764373. The reversal of 130764357 is 753467031.

130764357 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 643 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37564641 + 93199716 = 6129^2 + 9654^2 .

It is not a de Polignac number, because 130764357 - 210 = 130763333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130764307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12757 + ... + 20597.

It is an arithmetic number, because the mean of its divisors is an integer number (8410545).

Almost surely, 2130764357 is an apocalyptic number.

130764357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130764357 is a deficient number, since it is larger than the sum of its proper divisors (71088723).

130764357 is a wasteful number, since it uses less digits than its factorization.

130764357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 130764357 is about 11435.2243965739. The cubic root of 130764357 is about 507.5706027458.

The spelling of 130764357 in words is "one hundred thirty million, seven hundred sixty-four thousand, three hundred fifty-seven".

Divisors: 1 3 9 17 51 109 153 327 981 1853 5559 7841 16677 23523 70569 133297 399891 854669 1199673 2564007 7692021 14529373 43588119 130764357