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130461320 = 23511296503
BaseRepresentation
bin1111100011010…
…10111010001000
3100002111010021202
413301222322020
5231344230240
620540123332
73142621463
oct761527210
9302433252
10130461320
1167707580
1237836548
132104a762
14134802da
15b6c0315
hex7c6ae88

130461320 has 32 divisors (see below), whose sum is σ = 320224320. Its totient is φ = 47440320.

The previous prime is 130461319. The next prime is 130461323. The reversal of 130461320 is 23164031.

It is a super-2 number, since 2×1304613202 = 34040312032284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130461292 and 130461301.

It is not an unprimeable number, because it can be changed into a prime (130461323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147812 + ... + 148691.

It is an arithmetic number, because the mean of its divisors is an integer number (10007010).

Almost surely, 2130461320 is an apocalyptic number.

130461320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130461320 is an abundant number, since it is smaller than the sum of its proper divisors (189763000).

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

130461320 is a wasteful number, since it uses less digits than its factorization.

130461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296525 (or 296521 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 130461320 is about 11421.9665557206. The cubic root of 130461320 is about 507.1782133463.

The spelling of 130461320 in words is "one hundred thirty million, four hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 296503 593006 1186012 1482515 2372024 2965030 3261533 5930060 6523066 11860120 13046132 16307665 26092264 32615330 65230660 130461320