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430628120 = 23513828131
BaseRepresentation
bin11001101010101…
…101110100011000
31010000022011201122
4121222231310120
51340220044440
6110421504412
713446164366
oct3152556430
91100264648
10430628120
1120109530a
12100272108
136b2a6450
1441298636
1527c137b5
hex19aadd18

430628120 has 32 divisors (see below), whose sum is σ = 1043446320. Its totient is φ = 159000960.

The previous prime is 430628111. The next prime is 430628129. The reversal of 430628120 is 21826034.

It is an interprime number because it is at equal distance from previous prime (430628111) and next prime (430628129).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 430628120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430628129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413546 + ... + 414585.

Almost surely, 2430628120 is an apocalyptic number.

430628120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430628120 is an abundant number, since it is smaller than the sum of its proper divisors (612818200).

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

430628120 is a wasteful number, since it uses less digits than its factorization.

430628120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828155 (or 828151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 430628120 is about 20751.5811445779. The cubic root of 430628120 is about 755.1515681844.

The spelling of 430628120 in words is "four hundred thirty million, six hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 828131 1656262 3312524 4140655 6625048 8281310 10765703 16562620 21531406 33125240 43062812 53828515 86125624 107657030 215314060 430628120