Search a number
-
+
132063012 = 223213212777
BaseRepresentation
bin1111101111100…
…01111100100100
3100012111111101200
413313301330210
5232302004022
621034322500
73162342234
oct767617444
9305444350
10132063012
1168600994
1238289430
132148b7c3
1413779cc4
15b8d9bac
hex7df1f24

132063012 has 36 divisors (see below), whose sum is σ = 334198956. Its totient is φ = 43971840.

The previous prime is 132062993. The next prime is 132063017. The reversal of 132063012 is 210360231.

132063012 is a `hidden beast` number, since 1 + 3 + 20 + 630 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74545956 + 57517056 = 8634^2 + 7584^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132063017) 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 11 ways as a sum of consecutive naturals, for example, 46168 + ... + 48944.

Almost surely, 2132063012 is an apocalyptic number.

132063012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132063012 is an abundant number, since it is smaller than the sum of its proper divisors (202135944).

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

132063012 is a wasteful number, since it uses less digits than its factorization.

132063012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132063012 is about 11491.8672112064. The cubic root of 132063012 is about 509.2453429240.

The spelling of 132063012 in words is "one hundred thirty-two million, sixty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1321 2642 2777 3963 5284 5554 7926 8331 11108 11889 15852 16662 23778 24993 33324 47556 49986 99972 3668417 7336834 11005251 14673668 22010502 33015753 44021004 66031506 132063012