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132286032 = 2432918653
BaseRepresentation
bin1111110001010…
…00011001010000
3100012220211022200
413320220121100
5232331123112
621043203200
73164261364
oct770503120
9305824280
10132286032
11687434aa
1238376500
1321539178
14137d72a4
15b930cdc
hex7e28650

132286032 has 30 divisors (see below), whose sum is σ = 370217562. Its totient is φ = 44095296.

The previous prime is 132286009. The next prime is 132286057. The reversal of 132286032 is 230682231.

132286032 is a `hidden beast` number, since 1 + 32 + 28 + 603 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126697536 + 5588496 = 11256^2 + 2364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132285987 and 132286005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459183 + ... + 459470.

Almost surely, 2132286032 is an apocalyptic number.

132286032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132286032 is an abundant number, since it is smaller than the sum of its proper divisors (237931530).

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

132286032 is a wasteful number, since it uses less digits than its factorization.

132286032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918667 (or 918658 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132286032 is about 11501.5665020031. The cubic root of 132286032 is about 509.5318425867.

The spelling of 132286032 in words is "one hundred thirty-two million, two hundred eighty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 918653 1837306 2755959 3674612 5511918 7349224 8267877 11023836 14698448 16535754 22047672 33071508 44095344 66143016 132286032