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130291460 = 22513501121
BaseRepresentation
bin1111100010000…
…01011100000100
3100002011111021122
413301001130010
5231323311320
620532333112
73141313325
oct761013404
9302144248
10130291460
11676009a2
1237774198
1320cbb350
141343844c
15b689d25
hex7c41704

130291460 has 24 divisors (see below), whose sum is σ = 294659736. Its totient is φ = 48107520.

The previous prime is 130291433. The next prime is 130291487. The reversal of 130291460 is 64192031.

It is an interprime number because it is at equal distance from previous prime (130291433) and next prime (130291487).

It can be written as a sum of positive squares in 4 ways, for example, as 22505536 + 107785924 = 4744^2 + 10382^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250301 + ... + 250820.

It is an arithmetic number, because the mean of its divisors is an integer number (12277489).

Almost surely, 2130291460 is an apocalyptic number.

130291460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130291460 is an abundant number, since it is smaller than the sum of its proper divisors (164368276).

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

130291460 is a wasteful number, since it uses less digits than its factorization.

130291460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501143 (or 501141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 130291460 is about 11414.5284615704. The cubic root of 130291460 is about 506.9580032308.

The spelling of 130291460 in words is "one hundred thirty million, two hundred ninety-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 501121 1002242 2004484 2505605 5011210 6514573 10022420 13029146 26058292 32572865 65145730 130291460