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132930432 = 27322329173
BaseRepresentation
bin1111110110001…
…01101110000000
3100021010120021100
413323011232000
5233012233212
621105054400
73202614165
oct773055600
9307116240
10132930432
1169043668
1238627400
132170357b
141392406c
15ba0bbdc
hex7ec5b80

132930432 has 192 divisors, whose sum is σ = 415303200. Its totient is φ = 40685568.

The previous prime is 132930431. The next prime is 132930433. The reversal of 132930432 is 234039231.

It is a happy number.

132930432 is a `hidden beast` number, since 1 + 329 + 304 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (132930431) and next prime (132930433).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 132930396 and 132930405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132930431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768298 + ... + 768470.

Almost surely, 2132930432 is an apocalyptic number.

132930432 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 132930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207651600).

132930432 is an abundant number, since it is smaller than the sum of its proper divisors (282372768).

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

132930432 is a wasteful number, since it uses less digits than its factorization.

132930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 132930432 is about 11529.5460448363. The cubic root of 132930432 is about 510.3578572595.

Adding to 132930432 its reverse (234039231), we get a palindrome (366969663).

The spelling of 132930432 in words is "one hundred thirty-two million, nine hundred thirty thousand, four hundred thirty-two".