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132983300 = 225210312911
BaseRepresentation
bin1111110110100…
…10101000000100
3100021020020210102
413323102220010
5233020431200
621110143232
73203224262
oct773225004
9307206712
10132983300
116907a35a
1238651b18
1321721658
1413939432
15ba1c6d5
hex7ed2a04

132983300 has 36 divisors (see below), whose sum is σ = 291398016. Its totient is φ = 52672800.

The previous prime is 132983267. The next prime is 132983311. The reversal of 132983300 is 3389231.

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 11 ways as a sum of consecutive naturals, for example, 3845 + ... + 16755.

Almost surely, 2132983300 is an apocalyptic number.

132983300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132983300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145699008).

132983300 is an abundant number, since it is smaller than the sum of its proper divisors (158414716).

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

132983300 is a wasteful number, since it uses less digits than its factorization.

132983300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 132983300 is about 11531.8385351166. The cubic root of 132983300 is about 510.4255067375.

The spelling of 132983300 in words is "one hundred thirty-two million, nine hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 12911 25822 51644 64555 129110 258220 322775 645550 1291100 1329833 2659666 5319332 6649165 13298330 26596660 33245825 66491650 132983300