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132325410 = 23571494229
BaseRepresentation
bin1111110001100…
…10000000100010
3100012222211100010
413320302000202
5232333403120
621044105350
73164514240
oct770620042
9305884303
10132325410
1168770048
1238395256
1321551079
1413807790
15b93c7e0
hex7e32022

132325410 has 64 divisors (see below), whose sum is σ = 365472000. Its totient is φ = 30035712.

The previous prime is 132325397. The next prime is 132325441. The reversal of 132325410 is 14523231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29176 + ... + 33404.

It is an arithmetic number, because the mean of its divisors is an integer number (5710500).

Almost surely, 2132325410 is an apocalyptic number.

132325410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132325410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182736000).

132325410 is an abundant number, since it is smaller than the sum of its proper divisors (233146590).

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

132325410 is a wasteful number, since it uses less digits than its factorization.

132325410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132325410 is about 11503.2782284008. The cubic root of 132325410 is about 509.5823955540.

Adding to 132325410 its reverse (14523231), we get a palindrome (146848641).

The spelling of 132325410 in words is "one hundred thirty-two million, three hundred twenty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 298 447 745 894 1043 1490 2086 2235 3129 4229 4470 5215 6258 8458 10430 12687 15645 21145 25374 29603 31290 42290 59206 63435 88809 126870 148015 177618 296030 444045 630121 888090 1260242 1890363 3150605 3780726 4410847 6301210 8821694 9451815 13232541 18903630 22054235 26465082 44108470 66162705 132325410