Search a number
-
+
132884560 = 2452337129
BaseRepresentation
bin1111110101110…
…10100001010000
3100021001020100101
413322322201100
5233004301220
621104102144
73202333354
oct772724120
9307036311
10132884560
1169012156
1238604954
13216b8723
1413911464
15b9ed30a
hex7eba850

132884560 has 40 divisors (see below), whose sum is σ = 310326120. Its totient is φ = 52918272.

The previous prime is 132884551. The next prime is 132884573. The reversal of 132884560 is 65488231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 125978176 = 2628^2 + 11224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 15076 + ... + 22204.

It is an arithmetic number, because the mean of its divisors is an integer number (7758153).

Almost surely, 2132884560 is an apocalyptic number.

132884560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132884560 is an abundant number, since it is smaller than the sum of its proper divisors (177441560).

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

132884560 is a wasteful number, since it uses less digits than its factorization.

132884560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 132884560 is about 11527.5565494167. The cubic root of 132884560 is about 510.2991452733.

The spelling of 132884560 in words is "one hundred thirty-two million, eight hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 7129 9320 14258 18640 28516 35645 57032 71290 114064 142580 285160 570320 1661057 3322114 6644228 8305285 13288456 16610570 26576912 33221140 66442280 132884560