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430125000 = 233563137
BaseRepresentation
bin11001101000110…
…010111111001000
31002222100121120120
4121220302333020
51340103000000
6110403023240
713442000514
oct3150627710
91088317516
10430125000
11200881308
1210006ab20
136b15b446
14411a7144
1527b646a0
hex19a32fc8

430125000 has 224 divisors, whose sum is σ = 1424981760. Its totient is φ = 108000000.

The previous prime is 430124993. The next prime is 430125019. The reversal of 430125000 is 521034.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11624982 + ... + 11625018.

Almost surely, 2430125000 is an apocalyptic number.

430125000 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 430125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712490880).

430125000 is an abundant number, since it is smaller than the sum of its proper divisors (994856760).

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

430125000 is an equidigital number, since it uses as much as digits as its factorization.

430125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 430125000 is about 20739.4551519561. The cubic root of 430125000 is about 754.8573623498.

Adding to 430125000 its reverse (521034), we get a palindrome (430646034).

The spelling of 430125000 in words is "four hundred thirty million, one hundred twenty-five thousand".