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132314104 = 23131916661
BaseRepresentation
bin1111110001011…
…11001111111000
3100012222020211101
413320233033320
5232333022404
621043541144
73164436256
oct770571770
9305866741
10132314104
11687625aa
123838a7b4
1321548b90
14138035d6
15b9392a4
hex7e2f3f8

132314104 has 32 divisors (see below), whose sum is σ = 268611840. Its totient is φ = 60739200.

The previous prime is 132314099. The next prime is 132314113. The reversal of 132314104 is 401413231.

Adding to 132314104 its reverse (401413231), we get a palindrome (533727335).

132314104 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 3×1323141043 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16534 + ... + 23194.

It is an arithmetic number, because the mean of its divisors is an integer number (8394120).

Almost surely, 2132314104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134305920).

132314104 is an abundant number, since it is smaller than the sum of its proper divisors (136297736).

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

132314104 is a wasteful number, since it uses less digits than its factorization.

132314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6871 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132314104 is about 11502.7867927733. The cubic root of 132314104 is about 509.5678820839.

The spelling of 132314104 in words is "one hundred thirty-two million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 191 382 764 1528 2483 4966 6661 9932 13322 19864 26644 53288 86593 173186 346372 692744 1272251 2544502 5089004 10178008 16539263 33078526 66157052 132314104