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132325440 = 26351323461
BaseRepresentation
bin1111110001100…
…10000001000000
3100012222211101020
413320302001000
5232333403230
621044105440
73164514312
oct770620100
9305884336
10132325440
1168770075
1238395280
13215510a0
14138077b2
15b93c810
hex7e32040

132325440 has 224 divisors, whose sum is σ = 473147136. Its totient is φ = 31088640.

The previous prime is 132325397. The next prime is 132325441. The reversal of 132325440 is 44523231.

132325440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1323254403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132325440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132325441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286810 + ... + 287270.

It is an arithmetic number, because the mean of its divisors is an integer number (2112264).

Almost surely, 2132325440 is an apocalyptic number.

132325440 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 132325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236573568).

132325440 is an abundant number, since it is smaller than the sum of its proper divisors (340821696).

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

132325440 is a wasteful number, since it uses less digits than its factorization.

132325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 132325440 is about 11503.2795323768. The cubic root of 132325440 is about 509.5824340638.

Adding to 132325440 its reverse (44523231), we get a palindrome (176848671).

The spelling of 132325440 in words is "one hundred thirty-two million, three hundred twenty-five thousand, four hundred forty".