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130670460 = 223256431129
BaseRepresentation
bin1111100100111…
…01111101111100
3100002212202011200
413302131331330
5231422423320
620544415500
73144452304
oct762357574
9302782150
10130670460
116783a718
1237917590
13210c19cb
14134d6604
15b712290
hex7c9df7c

130670460 has 72 divisors (see below), whose sum is σ = 397335120. Its totient is φ = 34760448.

The previous prime is 130670443. The next prime is 130670461. The reversal of 130670460 is 64076031.

130670460 is a `hidden beast` number, since 130 + 6 + 70 + 460 = 666.

It is a super-2 number, since 2×1306704602 = 34149538233223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130670461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115176 + ... + 116304.

Almost surely, 2130670460 is an apocalyptic number.

130670460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130670460 is an abundant number, since it is smaller than the sum of its proper divisors (266664660).

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

130670460 is a wasteful number, since it uses less digits than its factorization.

130670460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130670460 is about 11431.1180555534. The cubic root of 130670460 is about 507.4490844922.

The spelling of 130670460 in words is "one hundred thirty million, six hundred seventy thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 643 1129 1286 1929 2258 2572 3215 3387 3858 4516 5645 5787 6430 6774 7716 9645 10161 11290 11574 12860 13548 16935 19290 20322 22580 23148 28935 33870 38580 40644 50805 57870 67740 101610 115740 203220 725947 1451894 2177841 2903788 3629735 4355682 6533523 7259470 8711364 10889205 13067046 14518940 21778410 26134092 32667615 43556820 65335230 130670460