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432132020 = 22524738737
BaseRepresentation
bin11001110000011…
…100111110110100
31010010010120200122
4121300130332310
51341111211040
6110514031112
713465030055
oct3160347664
91103116618
10432132020
11201a22201
12100878498
136b6b1b28
144156a72c
1527e0e1b5
hex19c1cfb4

432132020 has 24 divisors (see below), whose sum is σ = 907948104. Its totient is φ = 172763136.

The previous prime is 432132017. The next prime is 432132023. The reversal of 432132020 is 20231234.

It is an interprime number because it is at equal distance from previous prime (432132017) and next prime (432132023).

It can be written as a sum of positive squares in 4 ways, for example, as 62031376 + 370100644 = 7876^2 + 19238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 432132020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432132023) 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, 45092 + ... + 53828.

It is an arithmetic number, because the mean of its divisors is an integer number (37831171).

Almost surely, 2432132020 is an apocalyptic number.

It is an amenable number.

432132020 is an abundant number, since it is smaller than the sum of its proper divisors (475816084).

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

432132020 is a wasteful number, since it uses less digits than its factorization.

432132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11219 (or 11217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 432132020 is about 20787.7853558286. The cubic root of 432132020 is about 756.0296289350.

Adding to 432132020 its reverse (20231234), we get a palindrome (452363254).

The spelling of 432132020 in words is "four hundred thirty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 2473 4946 8737 9892 12365 17474 24730 34948 43685 49460 87370 174740 21606601 43213202 86426404 108033005 216066010 432132020