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132045232 = 24117110567
BaseRepresentation
bin1111101111011…
…01100110110000
3100012110121000011
413313231212300
5232300421412
621034104304
73162236344
oct767554660
9305417004
10132045232
11685995a0
123827b094
1321483697
1413773624
15b8d47a7
hex7ded9b0

132045232 has 40 divisors (see below), whose sum is σ = 283053312. Its totient is φ = 59169600.

The previous prime is 132045229. The next prime is 132045233. The reversal of 132045232 is 232540231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (132045233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7213 + ... + 17779.

Almost surely, 2132045232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132045232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141526656).

132045232 is an abundant number, since it is smaller than the sum of its proper divisors (151008080).

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

132045232 is a wasteful number, since it uses less digits than its factorization.

132045232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 132045232 is about 11491.0935946062. The cubic root of 132045232 is about 509.2224882063. Note that the first 3 decimals are identical.

Adding to 132045232 its reverse (232540231), we get a palindrome (364585463).

The spelling of 132045232 in words is "one hundred thirty-two million, forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 10567 12496 21134 42268 84536 116237 169072 232474 464948 750257 929896 1500514 1859792 3001028 6002056 8252827 12004112 16505654 33011308 66022616 132045232