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132840360 = 23325379973
BaseRepresentation
bin1111110101011…
…11101110101000
3100020221222201100
413322233232220
5233001342420
621103121400
73202060452
oct772575650
9306858640
10132840360
1168a91a24
12385a3260
13216a1583
14138dd2d2
15b9e0190
hex7eafba8

132840360 has 96 divisors (see below), whose sum is σ = 443444040. Its totient is φ = 34463232.

The previous prime is 132840359. The next prime is 132840401. The reversal of 132840360 is 63048231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107619876 + 25220484 = 10374^2 + 5022^2 .

It is a super-2 number, since 2×1328403602 = 35293122489859200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8334 + ... + 18306.

Almost surely, 2132840360 is an apocalyptic number.

132840360 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 132840360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221722020).

132840360 is an abundant number, since it is smaller than the sum of its proper divisors (310603680).

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

132840360 is a wasteful number, since it uses less digits than its factorization.

132840360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132840360 is about 11525.6392447447. The cubic root of 132840360 is about 510.2425605117.

Adding to 132840360 its reverse (63048231), we get a palindrome (195888591).

The spelling of 132840360 in words is "one hundred thirty-two million, eight hundred forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 9973 13320 19946 29919 39892 49865 59838 79784 89757 99730 119676 149595 179514 199460 239352 299190 359028 369001 398920 448785 598380 718056 738002 897570 1107003 1196760 1476004 1795140 1845005 2214006 2952008 3321009 3590280 3690010 4428012 5535015 6642018 7380020 8856024 11070030 13284036 14760040 16605045 22140060 26568072 33210090 44280120 66420180 132840360