Base | Representation |
---|---|
bin | 1111110010000… |
… | …11001110000000 |
3 | 100020010102001000 |
4 | 13321003032000 |
5 | 232343132104 |
6 | 21045412000 |
7 | 3165226614 |
oct | 771031600 |
9 | 306112030 |
10 | 132395904 |
11 | 68809003 |
12 | 3840a000 |
13 | 21577194 |
14 | 13825344 |
15 | b953639 |
hex | 7e43380 |
132395904 has 128 divisors (see below), whose sum is σ = 404532000. Its totient is φ = 42577920.
The previous prime is 132395897. The next prime is 132396007. The reversal of 132395904 is 409593231.
It is a happy number.
132395904 is a `hidden beast` number, since 1 + 32 + 39 + 590 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99564 + ... + 100884.
Almost surely, 2132395904 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 132395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202266000).
132395904 is an abundant number, since it is smaller than the sum of its proper divisors (272136096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132395904 is a wasteful number, since it uses less digits than its factorization.
132395904 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1373 (or 1355 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The square root of 132395904 is about 11506.3419034896. The cubic root of 132395904 is about 509.6728697979.
The spelling of 132395904 in words is "one hundred thirty-two million, three hundred ninety-five thousand, nine hundred four".
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