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132459880 = 23574671013
BaseRepresentation
bin1111110010100…
…10110101101000
3100020020122210111
413321102311220
5232402204010
621051024104
73165614260
oct771226550
9306218714
10132459880
1168852083
123843b034
132159a337
14138407a0
15b96758a
hex7e52d68

132459880 has 64 divisors (see below), whose sum is σ = 341677440. Its totient is φ = 45272832.

The previous prime is 132459851. The next prime is 132459881. The reversal of 132459880 is 88954231.

It is a super-2 number, since 2×1324598802 = 35091239619228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (132459881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130254 + ... + 131266.

It is an arithmetic number, because the mean of its divisors is an integer number (5338710).

Almost surely, 2132459880 is an apocalyptic number.

132459880 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 132459880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170838720).

132459880 is an abundant number, since it is smaller than the sum of its proper divisors (209217560).

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

132459880 is a wasteful number, since it uses less digits than its factorization.

132459880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 132459880 is about 11509.1215998442. The cubic root of 132459880 is about 509.7549508389.

The spelling of 132459880 in words is "one hundred thirty-two million, four hundred fifty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 467 934 1013 1868 2026 2335 3269 3736 4052 4670 5065 6538 7091 8104 9340 10130 13076 14182 16345 18680 20260 26152 28364 32690 35455 40520 56728 65380 70910 130760 141820 283640 473071 946142 1892284 2365355 3311497 3784568 4730710 6622994 9461420 13245988 16557485 18922840 26491976 33114970 66229940 132459880