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132327690 = 235112331721
BaseRepresentation
bin1111110001100…
…10100100001010
3100012222221110120
413320302210022
5232333441230
621044124110
73164524005
oct770624412
9305887416
10132327690
1168771830
1238396636
1321552111
141380853c
15b93d310
hex7e3290a

132327690 has 64 divisors (see below), whose sum is σ = 348147072. Its totient is φ = 31923200.

The previous prime is 132327683. The next prime is 132327707. The reversal of 132327690 is 96723231.

It is a happy number.

It is a super-2 number, since 2×1323276902 = 35021235081472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76030 + ... + 77750.

It is an arithmetic number, because the mean of its divisors is an integer number (5439798).

Almost surely, 2132327690 is an apocalyptic number.

132327690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132327690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073536).

132327690 is an abundant number, since it is smaller than the sum of its proper divisors (215819382).

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

132327690 is a wasteful number, since it uses less digits than its factorization.

132327690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 132327690 is about 11503.3773301583. The cubic root of 132327690 is about 509.5853222814.

The spelling of 132327690 in words is "one hundred thirty-two million, three hundred twenty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 233 330 466 699 1165 1398 1721 2330 2563 3442 3495 5126 5163 6990 7689 8605 10326 12815 15378 17210 18931 25630 25815 37862 38445 51630 56793 76890 94655 113586 189310 283965 400993 567930 801986 1202979 2004965 2405958 4009930 4410923 6014895 8821846 12029790 13232769 22054615 26465538 44109230 66163845 132327690