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132819900 = 22352442733
BaseRepresentation
bin1111110101010…
…10101110111100
3100020220221122120
413322222232330
5233000214100
621102442540
73201644013
oct772525674
9306827576
10132819900
1168a78614
1238593450
1321695175
14138d5a7a
15b9d90a0
hex7eaabbc

132819900 has 36 divisors (see below), whose sum is σ = 384293112. Its totient is φ = 35418560.

The previous prime is 132819881. The next prime is 132819931. The reversal of 132819900 is 9918231.

It is a super-2 number, since 2×1328199002 = 35282251672020000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221067 + ... + 221666.

Almost surely, 2132819900 is an apocalyptic number.

132819900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132819900 is an abundant number, since it is smaller than the sum of its proper divisors (251473212).

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

132819900 is a wasteful number, since it uses less digits than its factorization.

132819900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442750 (or 442743 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 132819900 is about 11524.7516242217. The cubic root of 132819900 is about 510.2163634061.

The spelling of 132819900 in words is "one hundred thirty-two million, eight hundred nineteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 442733 885466 1328199 1770932 2213665 2656398 4427330 5312796 6640995 8854660 11068325 13281990 22136650 26563980 33204975 44273300 66409950 132819900