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130406430 = 23571156453
BaseRepresentation
bin1111100010111…
…01100000011110
3100002101022222210
413301131200132
5231341001210
620535021250
73142302450
oct761354036
9302338883
10130406430
116767a310
123780a826
132102b78b
14134682d0
15b6ade20
hex7c5d81e

130406430 has 64 divisors (see below), whose sum is σ = 390210048. Its totient is φ = 27096960.

The previous prime is 130406411. The next prime is 130406431. The reversal of 130406430 is 34604031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130406397 and 130406406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130406431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25917 + ... + 30536.

It is an arithmetic number, because the mean of its divisors is an integer number (6097032).

Almost surely, 2130406430 is an apocalyptic number.

130406430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130406430 is an abundant number, since it is smaller than the sum of its proper divisors (259803618).

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

130406430 is a wasteful number, since it uses less digits than its factorization.

130406430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56481.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130406430 is about 11419.5634767709. The cubic root of 130406430 is about 507.1070736978.

The spelling of 130406430 in words is "one hundred thirty million, four hundred six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 56453 112906 169359 282265 338718 395171 564530 620983 790342 846795 1185513 1241966 1693590 1862949 1975855 2371026 3104915 3725898 3951710 4346881 5927565 6209830 8693762 9314745 11855130 13040643 18629490 21734405 26081286 43468810 65203215 130406430