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430130120 = 23575872617
BaseRepresentation
bin11001101000110…
…100001111001000
31002222100212121012
4121220310033020
51340103130440
6110403103052
713442021450
oct3150641710
91088325535
10430130120
11200885142
12100071a88
136b160884
14411a8d60
1527b65e65
hex19a343c8

430130120 has 64 divisors (see below), whose sum is σ = 1108356480. Its totient is φ = 147165696.

The previous prime is 430130111. The next prime is 430130123. The reversal of 430130120 is 21031034.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 430130095 and 430130104.

It is not an unprimeable number, because it can be changed into a prime (430130123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 163052 + ... + 165668.

It is an arithmetic number, because the mean of its divisors is an integer number (17318070).

Almost surely, 2430130120 is an apocalyptic number.

430130120 is a gapful number since it is divisible by the number (40) 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 430130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554178240).

430130120 is an abundant number, since it is smaller than the sum of its proper divisors (678226360).

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

430130120 is a wasteful number, since it uses less digits than its factorization.

430130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 430130120 is about 20739.5785878113. The cubic root of 430130120 is about 754.8603574903.

Adding to 430130120 its reverse (21031034), we get a palindrome (451161154).

The spelling of 430130120 in words is "four hundred thirty million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 587 1174 2348 2617 2935 4109 4696 5234 5870 8218 10468 11740 13085 16436 18319 20545 20936 23480 26170 32872 36638 41090 52340 73276 82180 91595 104680 146552 164360 183190 366380 732760 1536179 3072358 6144716 7680895 10753253 12289432 15361790 21506506 30723580 43013012 53766265 61447160 86026024 107532530 215065060 430130120