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132330432 = 2631353017
BaseRepresentation
bin1111110001100…
…11001111000000
3100020000002020010
413320303033000
5232334033212
621044144520
73164535003
oct770631700
9306002203
10132330432
11687738a3
1238398140
1321553440
141380953a
15b93e03c
hex7e333c0

132330432 has 56 divisors (see below), whose sum is σ = 377064016. Its totient is φ = 40716288.

The previous prime is 132330403. The next prime is 132330437. The reversal of 132330432 is 234033231.

It is a super-2 number, since 2×1323304322 = 35022686466613248, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 132330399 and 132330408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330437) 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, 24013 + ... + 29004.

It is an arithmetic number, because the mean of its divisors is an integer number (6733286).

Almost surely, 2132330432 is an apocalyptic number.

132330432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132330432 is an abundant number, since it is smaller than the sum of its proper divisors (244733584).

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

132330432 is a wasteful number, since it uses less digits than its factorization.

132330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53045 (or 53035 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 132330432 is about 11503.4965119306. The cubic root of 132330432 is about 509.5888420116.

Adding to 132330432 its reverse (234033231), we get a palindrome (366363663).

The spelling of 132330432 in words is "one hundred thirty-two million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 53017 106034 159051 212068 318102 424136 636204 689221 848272 1272408 1378442 1696544 2067663 2544816 2756884 3393088 4135326 5089632 5513768 8270652 10179264 11027536 16541304 22055072 33082608 44110144 66165216 132330432