Base | Representation |
---|---|
bin | 1111110110010… |
… | …01110000000000 |
3 | 100021011101220220 |
4 | 13323021300000 |
5 | 233013300234 |
6 | 21105303040 |
7 | 3203013264 |
oct | 773116000 |
9 | 307141826 |
10 | 132946944 |
11 | 69055009 |
12 | 38634a80 |
13 | 2170ac40 |
14 | 1392a0a4 |
15 | ba11a49 |
hex | 7ec9c00 |
132946944 has 88 divisors (see below), whose sum is σ = 381724560. Its totient is φ = 40894464.
The previous prime is 132946903. The next prime is 132946951. The reversal of 132946944 is 449649231.
It is a junction number, because it is equal to n+sod(n) for n = 132946896 and 132946905.
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, 38272 + ... + 41600.
Almost surely, 2132946944 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 132946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190862280).
132946944 is an abundant number, since it is smaller than the sum of its proper divisors (248777616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132946944 is a wasteful number, since it uses less digits than its factorization.
132946944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3365 (or 3347 counting only the distinct ones).
The product of its digits is 186624, while the sum is 42.
The square root of 132946944 is about 11530.2620958936. The cubic root of 132946944 is about 510.3789878111.
The spelling of 132946944 in words is "one hundred thirty-two million, nine hundred forty-six thousand, nine hundred forty-four".
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