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130104432 = 24323724419
BaseRepresentation
bin1111100000100…
…11110001110000
3100001210222201200
413300103301300
5231301320212
620524331200
73136604133
oct760236160
9301728650
10130104432
1167493427
12376a3b00
1320c54193
14133ca21a
15b64e6dc
hex7c13c70

130104432 has 60 divisors (see below), whose sum is σ = 373967880. Its totient is φ = 42194304.

The previous prime is 130104421. The next prime is 130104449. The reversal of 130104432 is 234401031.

130104432 is a `hidden beast` number, since 130 + 104 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6882 + ... + 17537.

It is an arithmetic number, because the mean of its divisors is an integer number (6232798).

Almost surely, 2130104432 is an apocalyptic number.

130104432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130104432 is an abundant number, since it is smaller than the sum of its proper divisors (243863448).

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

130104432 is a wasteful number, since it uses less digits than its factorization.

130104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24470 (or 24461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130104432 is about 11406.3329777804. The cubic root of 130104432 is about 506.7153146579.

Adding to 130104432 its reverse (234401031), we get a palindrome (364505463).

The spelling of 130104432 in words is "one hundred thirty million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 24419 48838 73257 97676 146514 195352 219771 293028 390704 439542 586056 879084 903503 1172112 1758168 1807006 2710509 3516336 3614012 5421018 7228024 8131527 10842036 14456048 16263054 21684072 32526108 43368144 65052216 130104432