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132553260 = 22345711689
BaseRepresentation
bin1111110011010…
…01101000101100
3100020102101220000
413321221220230
5232413201020
621053024300
73166453440
oct771515054
9306371800
10132553260
1168906254
1238485090
13216009a8
1413866820
15b985090
hex7e69a2c

132553260 has 120 divisors (see below), whose sum is σ = 475268640. Its totient is φ = 30295296.

The previous prime is 132553249. The next prime is 132553261. The reversal of 132553260 is 62355231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132553261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5496 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (3960572).

Almost surely, 2132553260 is an apocalyptic number.

132553260 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 132553260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237634320).

132553260 is an abundant number, since it is smaller than the sum of its proper divisors (342715380).

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

132553260 is a wasteful number, since it uses less digits than its factorization.

132553260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11717 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 132553260 is about 11513.1776673514. The cubic root of 132553260 is about 509.8747097072.

The spelling of 132553260 in words is "one hundred thirty-two million, five hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 11689 23378 35067 46756 58445 70134 81823 105201 116890 140268 163646 175335 210402 233780 245469 315603 327292 350670 409115 420804 490938 526005 631206 701340 736407 818230 946809 981876 1052010 1227345 1262412 1472814 1578015 1636460 1893618 2104020 2209221 2454690 2945628 3156030 3682035 3787236 4418442 4734045 4909380 6312060 6627663 7364070 8836884 9468090 11046105 13255326 14728140 18936180 22092210 26510652 33138315 44184420 66276630 132553260