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132320300 = 22527421449
BaseRepresentation
bin1111110001100…
…00110000101100
3100012222120022212
413320300300230
5232333222200
621044025552
73164463320
oct770606054
9305876285
10132320300
1168767222
12383922b8
132154b948
1413805980
15b93b035
hex7e30c2c

132320300 has 72 divisors (see below), whose sum is σ = 329666400. Its totient is φ = 45158400.

The previous prime is 132320273. The next prime is 132320317. The reversal of 132320300 is 3023231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 294476 + ... + 294924.

It is an arithmetic number, because the mean of its divisors is an integer number (4578700).

Almost surely, 2132320300 is an apocalyptic number.

132320300 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 132320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164833200).

132320300 is an abundant number, since it is smaller than the sum of its proper divisors (197346100).

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

132320300 is a wasteful number, since it uses less digits than its factorization.

132320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 132320300 is about 11503.0561156590. The cubic root of 132320300 is about 509.5758359684.

Adding to 132320300 its reverse (3023231), we get a palindrome (135343531).

The spelling of 132320300 in words is "one hundred thirty-two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 421 449 700 842 898 1684 1796 2105 2245 2947 3143 4210 4490 5894 6286 8420 8980 10525 11225 11788 12572 14735 15715 21050 22450 29470 31430 42100 44900 58940 62860 73675 78575 147350 157150 189029 294700 314300 378058 756116 945145 1323203 1890290 2646406 3780580 4725725 5292812 6616015 9451450 13232030 18902900 26464060 33080075 66160150 132320300