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132030432 = 25331789101
BaseRepresentation
bin1111101111010…
…01111111100000
3100012102211201000
413313221333200
5232244433212
621033512000
73162145242
oct767517740
9305384630
10132030432
1168589466
1238272600
1321479a21
141376c092
15b8d01dc
hex7de9fe0

132030432 has 192 divisors, whose sum is σ = 416404800. Its totient is φ = 40550400.

The previous prime is 132030427. The next prime is 132030433. The reversal of 132030432 is 234030231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132030433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307182 + ... + 1307282.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2132030432 is an apocalyptic number.

132030432 is a gapful number since it is divisible by the number (12) 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 132030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208202400).

132030432 is an abundant number, since it is smaller than the sum of its proper divisors (284374368).

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

132030432 is a wasteful number, since it uses less digits than its factorization.

132030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

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

The square root of 132030432 is about 11490.4495995588. The cubic root of 132030432 is about 509.2034624672.

Adding to 132030432 its reverse (234030231), we get a palindrome (366060663).

The spelling of 132030432 in words is "one hundred thirty-two million, thirty thousand, four hundred thirty-two".