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132646212 = 223218120357
BaseRepresentation
bin1111110100000…
…00010101000100
3100020121010101200
413322000111010
5232424134322
621055022500
73200321436
oct772002504
9306533350
10132646212
116896a076
123850aa30
13216340aa
141388c656
15b9a28ac
hex7e80544

132646212 has 36 divisors (see below), whose sum is σ = 337169196. Its totient is φ = 43968960.

The previous prime is 132646211. The next prime is 132646231. The reversal of 132646212 is 212646231.

132646212 is a `hidden beast` number, since 1 + 3 + 2 + 646 + 2 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29095236 + 103550976 = 5394^2 + 10176^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132646211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3663 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (9365811).

Almost surely, 2132646212 is an apocalyptic number.

132646212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132646212 is an abundant number, since it is smaller than the sum of its proper divisors (204522984).

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

132646212 is a wasteful number, since it uses less digits than its factorization.

132646212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20548 (or 20543 counting only the distinct ones).

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

The square root of 132646212 is about 11517.2137255501. The cubic root of 132646212 is about 509.9938638247.

The spelling of 132646212 in words is "one hundred thirty-two million, six hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 20357 40714 61071 81428 122142 183213 244284 366426 732852 3684617 7369234 11053851 14738468 22107702 33161553 44215404 66323106 132646212