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132023200 = 2552227727
BaseRepresentation
bin1111101111010…
…00001110100000
3100012102110210011
413313220032200
5232244220300
621033414304
73162115201
oct767501640
9305373704
10132023200
1168583a91
123826a394
132147664a
14137695a8
15b8cceba
hex7de83a0

132023200 has 72 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 52504320.

The previous prime is 132023189. The next prime is 132023233. The reversal of 132023200 is 2320231.

It is a happy 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, 181237 + ... + 181963.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2132023200 is an apocalyptic number.

132023200 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 132023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

132023200 is an abundant number, since it is smaller than the sum of its proper divisors (192143552).

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

132023200 is a wasteful number, since it uses less digits than its factorization.

132023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 132023200 is about 11490.1348991211. The cubic root of 132023200 is about 509.1941650484.

Adding to 132023200 its reverse (2320231), we get a palindrome (134343431).

The spelling of 132023200 in words is "one hundred thirty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 227 400 454 727 800 908 1135 1454 1816 2270 2908 3632 3635 4540 5675 5816 7264 7270 9080 11350 11632 14540 18160 18175 22700 23264 29080 36320 36350 45400 58160 72700 90800 116320 145400 165029 181600 290800 330058 581600 660116 825145 1320232 1650290 2640464 3300580 4125725 5280928 6601160 8251450 13202320 16502900 26404640 33005800 66011600 132023200