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130430412 = 22347131439
BaseRepresentation
bin1111100011000…
…11010111001100
3100002102112220000
413301203113030
5231342233122
620535324300
73142432410
oct761432714
9302375800
10130430412
1167696332
1237820690
1321039678
1413472d40
15b6b60ac
hex7c635cc

130430412 has 120 divisors (see below), whose sum is σ = 393550080. Its totient is φ = 36897120.

The previous prime is 130430411. The next prime is 130430449. The reversal of 130430412 is 214034031.

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

It is not an unprimeable number, because it can be changed into a prime (130430411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296889 + ... + 297327.

It is an arithmetic number, because the mean of its divisors is an integer number (3279584).

Almost surely, 2130430412 is an apocalyptic number.

130430412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130430412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196775040).

130430412 is an abundant number, since it is smaller than the sum of its proper divisors (263119668).

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

130430412 is a wasteful number, since it uses less digits than its factorization.

130430412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

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

The square root of 130430412 is about 11420.6134686364. The cubic root of 130430412 is about 507.1381577898.

Adding to 130430412 its reverse (214034031), we get a palindrome (344464443).

The spelling of 130430412 in words is "one hundred thirty million, four hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 131 162 189 252 262 324 378 393 439 524 567 756 786 878 917 1134 1179 1317 1572 1756 1834 2268 2358 2634 2751 3073 3537 3668 3951 4716 5268 5502 6146 7074 7902 8253 9219 10611 11004 11853 12292 14148 15804 16506 18438 21222 23706 24759 27657 33012 35559 36876 42444 47412 49518 55314 57509 71118 74277 82971 99036 110628 115018 142236 148554 165942 172527 230036 248913 297108 331884 345054 402563 497826 517581 690108 805126 995652 1035162 1207689 1552743 1610252 2070324 2415378 3105486 3623067 4658229 4830756 6210972 7246134 9316458 10869201 14492268 18632916 21738402 32607603 43476804 65215206 130430412