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132025280 = 2653113309
BaseRepresentation
bin1111101111010…
…00101111000000
3100012102120122012
413313220233000
5232244302110
621033432052
73162124232
oct767505700
9305376565
10132025280
1168585602
123826b628
132147758a
141376a252
15b8cd905
hex7de8bc0

132025280 has 56 divisors (see below), whose sum is σ = 324551040. Its totient is φ = 51102720.

The previous prime is 132025259. The next prime is 132025291. The reversal of 132025280 is 82520231.

132025280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3266 + ... + 16574.

Almost surely, 2132025280 is an apocalyptic number.

132025280 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 132025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162275520).

132025280 is an abundant number, since it is smaller than the sum of its proper divisors (192525760).

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

132025280 is a wasteful number, since it uses less digits than its factorization.

132025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 132025280 is about 11490.2254111919. The cubic root of 132025280 is about 509.1968391195.

The spelling of 132025280 in words is "one hundred thirty-two million, twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 13309 26618 53236 66545 106472 133090 212944 266180 412579 425888 532360 825158 851776 1064720 1650316 2062895 2129440 3300632 4125790 4258880 6601264 8251580 13202528 16503160 26405056 33006320 66012640 132025280