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130405032 = 23332326249
BaseRepresentation
bin1111100010111…
…01001010101000
3100002101021002000
413301131022220
5231340430112
620535011000
73142265412
oct761351250
9302337060
10130405032
116767925a
1237809a60
132102ac54
14134679b2
15b6ad7dc
hex7c5d2a8

130405032 has 64 divisors (see below), whose sum is σ = 378000000. Its totient is φ = 41576832.

The previous prime is 130405027. The next prime is 130405043. The reversal of 130405032 is 230504031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130404996 and 130405014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8157 + ... + 18092.

It is an arithmetic number, because the mean of its divisors is an integer number (5906250).

Almost surely, 2130405032 is an apocalyptic number.

130405032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130405032 is an abundant number, since it is smaller than the sum of its proper divisors (247594968).

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

130405032 is a wasteful number, since it uses less digits than its factorization.

130405032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26287 (or 26277 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130405032 is about 11419.5022658608. The cubic root of 130405032 is about 507.1052615729.

Adding to 130405032 its reverse (230504031), we get a palindrome (360909063).

The spelling of 130405032 in words is "one hundred thirty million, four hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 26249 52498 78747 104996 157494 209992 236241 314988 472482 603727 629976 708723 944964 1207454 1417446 1811181 1889928 2414908 2834892 3622362 4829816 5433543 5669784 7244724 10867086 14489448 16300629 21734172 32601258 43468344 65202516 130405032