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132032512 = 211232803
BaseRepresentation
bin1111101111010…
…10100000000000
3100012102221120001
413313222200000
5232300020022
621033525344
73162154303
oct767524000
9305387501
10132032512
116858aa87
1238273854
132147a961
141376cb3a
15b8d0b27
hex7dea800

132032512 has 48 divisors (see below), whose sum is σ = 275577120. Its totient is φ = 63123456.

The previous prime is 132032497. The next prime is 132032513. The reversal of 132032512 is 215230231.

It is a self number, because there is not a number n which added to its sum of digits gives 132032512.

It is not an unprimeable number, because it can be changed into a prime (132032513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45703 + ... + 48505.

It is an arithmetic number, because the mean of its divisors is an integer number (5741190).

Almost surely, 2132032512 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 132032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137788560).

132032512 is an abundant number, since it is smaller than the sum of its proper divisors (143544608).

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

132032512 is an equidigital number, since it uses as much as digits as its factorization.

132032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 132032512 is about 11490.5401091507. The cubic root of 132032512 is about 509.2061364407.

Adding to 132032512 its reverse (215230231), we get a palindrome (347262743).

The spelling of 132032512 in words is "one hundred thirty-two million, thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2803 2944 5606 5888 11212 11776 22424 23552 44848 47104 64469 89696 128938 179392 257876 358784 515752 717568 1031504 1435136 2063008 2870272 4126016 5740544 8252032 16504064 33008128 66016256 132032512