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130460409 = 3337433037
BaseRepresentation
bin1111100011010…
…10101011111001
3100002111002001000
413301222223321
5231344213114
620540115213
73142616022
oct761525371
9302432030
10130460409
1167706922
1237835b09
132104a211
141347dc49
15b6bee09
hex7c6aaf9

130460409 has 32 divisors (see below), whose sum is σ = 203181440. Its totient is φ = 82627776.

The previous prime is 130460389. The next prime is 130460413. The reversal of 130460409 is 904064031.

It is not a de Polignac number, because 130460409 - 29 = 130459897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130460419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41439 + ... + 44475.

It is an arithmetic number, because the mean of its divisors is an integer number (6349420).

Almost surely, 2130460409 is an apocalyptic number.

It is an amenable number.

130460409 is a deficient number, since it is larger than the sum of its proper divisors (72721031).

130460409 is a wasteful number, since it uses less digits than its factorization.

130460409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130460409 is about 11421.9266763537. The cubic root of 130460409 is about 507.1770328165.

The spelling of 130460409 in words is "one hundred thirty million, four hundred sixty thousand, four hundred nine".

Divisors: 1 3 9 27 37 43 111 129 333 387 999 1161 1591 3037 4773 9111 14319 27333 42957 81999 112369 130591 337107 391773 1011321 1175319 3033963 3525957 4831867 14495601 43486803 130460409