Base | Representation |
---|---|
bin | 1111101111110… |
… | …11111111010000 |
3 | 100012120120211002 |
4 | 13313323333100 |
5 | 232304313034 |
6 | 21035241132 |
7 | 3162603164 |
oct | 767737720 |
9 | 305516732 |
10 | 132104144 |
11 | 68629887 |
12 | 382a91a8 |
13 | 214a4443 |
14 | 1378aca4 |
15 | b8e6e7e |
hex | 7dfbfd0 |
132104144 has 40 divisors (see below), whose sum is σ = 279767808. Its totient is φ = 60157440.
The previous prime is 132104123. The next prime is 132104149. The reversal of 132104144 is 441401231.
It is a super-3 number, since 3×1321041443 (a number of 25 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132104149) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599 + ... + 16265.
Almost surely, 2132104144 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 132104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139883904).
132104144 is an abundant number, since it is smaller than the sum of its proper divisors (147663664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132104144 is a wasteful number, since it uses less digits than its factorization.
132104144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15723 (or 15717 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 132104144 is about 11493.6566853200. The cubic root of 132104144 is about 509.2982068432.
Adding to 132104144 its reverse (441401231), we get a palindrome (573505375).
The spelling of 132104144 in words is "one hundred thirty-two million, one hundred four thousand, one hundred forty-four".
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