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432023130 = 2325711312011
BaseRepresentation
bin11001110000000…
…010011001011010
31010002221001022200
4121300002121122
51341044220010
6110511431030
713464064440
oct3160023132
91102831280
10432023130
11201958410
12100825476
136b6743b6
144153cb90
1527ddbcc0
hex19c0265a

432023130 has 192 divisors, whose sum is σ = 1446322176. Its totient is φ = 86832000.

The previous prime is 432023071. The next prime is 432023131. The reversal of 432023130 is 31320234.

432023130 is a `hidden beast` number, since 432 + 0 + 231 + 3 + 0 = 666.

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 (432023131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213825 + ... + 215835.

It is an arithmetic number, because the mean of its divisors is an integer number (7532928).

Almost surely, 2432023130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723161088).

432023130 is an abundant number, since it is smaller than the sum of its proper divisors (1014299046).

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

432023130 is a wasteful number, since it uses less digits than its factorization.

432023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 432023130 is about 20785.1661047007. The cubic root of 432023130 is about 755.9661213507.

Adding to 432023130 its reverse (31320234), we get a palindrome (463343364).

The spelling of 432023130 in words is "four hundred thirty-two million, twenty-three thousand, one hundred thirty".