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130655460 = 223513191877
BaseRepresentation
bin1111100100110…
…10010011100100
3100002211222121010
413302122103210
5231421433320
620544222220
73144360465
oct762322344
9302758533
10130655460
116782a421
123790a970
13210b7c30
14134d0d6c
15b70cae0
hex7c9a4e4

130655460 has 96 divisors (see below), whose sum is σ = 396490752. Its totient is φ = 31956480.

The previous prime is 130655431. The next prime is 130655461. The reversal of 130655460 is 64556031.

130655460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130655461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148542 + ... + 149418.

It is an arithmetic number, because the mean of its divisors is an integer number (4130112).

Almost surely, 2130655460 is an apocalyptic number.

130655460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130655460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198245376).

130655460 is an abundant number, since it is smaller than the sum of its proper divisors (265835292).

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

130655460 is a wasteful number, since it uses less digits than its factorization.

130655460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 130655460 is about 11430.4619329229. The cubic root of 130655460 is about 507.4296666183.

The spelling of 130655460 in words is "one hundred thirty million, six hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 260 382 390 573 764 780 877 955 1146 1754 1910 2292 2483 2631 2865 3508 3820 4385 4966 5262 5730 7449 8770 9932 10524 11401 11460 12415 13155 14898 17540 22802 24830 26310 29796 34203 37245 45604 49660 52620 57005 68406 74490 114010 136812 148980 167507 171015 228020 335014 342030 502521 670028 684060 837535 1005042 1675070 2010084 2177591 2512605 3350140 4355182 5025210 6532773 8710364 10050420 10887955 13065546 21775910 26131092 32663865 43551820 65327730 130655460