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132324413 = 13171733461
BaseRepresentation
bin1111110001100…
…01110000111101
3100012222202222012
413320301300331
5232333340123
621044101005
73164511314
oct770616075
9305882865
10132324413
116876a321
1238394765
1321550790
141380727b
15b93c378
hex7e31c3d

132324413 has 16 divisors (see below), whose sum is σ = 151801776. Its totient is φ = 114263040.

The previous prime is 132324403. The next prime is 132324449. The reversal of 132324413 is 314423231.

It can be written as a sum of positive squares in 8 ways, for example, as 120409 + 132204004 = 347^2 + 11498^2 .

It is not a de Polignac number, because 132324413 - 212 = 132320317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132324403) 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, 36503 + ... + 39963.

It is an arithmetic number, because the mean of its divisors is an integer number (9487611).

Almost surely, 2132324413 is an apocalyptic number.

132324413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132324413 is a deficient number, since it is larger than the sum of its proper divisors (19477363).

132324413 is a wasteful number, since it uses less digits than its factorization.

132324413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664.

The product of its digits is 1728, while the sum is 23.

The square root of 132324413 is about 11503.2348928464. The cubic root of 132324413 is about 509.5811157421.

Adding to 132324413 its reverse (314423231), we get a palindrome (446747644).

The spelling of 132324413 in words is "one hundred thirty-two million, three hundred twenty-four thousand, four hundred thirteen".

Divisors: 1 13 17 173 221 2249 2941 3461 38233 44993 58837 598753 764881 7783789 10178801 132324413