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132453200 = 24521130103
BaseRepresentation
bin1111110010100…
…01001101010000
3100020020022122002
413321101031100
5232402000300
621050533132
73165555635
oct771211520
9306208562
10132453200
1168848060
12384371a8
1321597299
141383c18c
15b9655d5
hex7e51350

132453200 has 60 divisors (see below), whose sum is σ = 347159328. Its totient is φ = 48163200.

The previous prime is 132453169. The next prime is 132453221. The reversal of 132453200 is 2354231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 10652 + ... + 19451.

Almost surely, 2132453200 is an apocalyptic number.

132453200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132453200 is an abundant number, since it is smaller than the sum of its proper divisors (214706128).

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

132453200 is a wasteful number, since it uses less digits than its factorization.

132453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30132 (or 30121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 132453200 is about 11508.8313915879. The cubic root of 132453200 is about 509.7463816522.

The spelling of 132453200 in words is "one hundred thirty-two million, four hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 30103 60206 120412 150515 240824 301030 331133 481648 602060 662266 752575 1204120 1324532 1505150 1655665 2408240 2649064 3010300 3311330 5298128 6020600 6622660 8278325 12041200 13245320 16556650 26490640 33113300 66226600 132453200