Base | Representation |
---|---|
bin | 1111110101110… |
… | …10011010101000 |
3 | 100021001012202200 |
4 | 13322322122220 |
5 | 233004243021 |
6 | 21104100200 |
7 | 3202332210 |
oct | 772723250 |
9 | 307035680 |
10 | 132884136 |
11 | 69011900 |
12 | 38604660 |
13 | 216b8488 |
14 | 13911240 |
15 | b9ed126 |
hex | 7eba6a8 |
132884136 has 144 divisors (see below), whose sum is σ = 452306400. Its totient is φ = 34499520.
The previous prime is 132884123. The next prime is 132884161. The reversal of 132884136 is 631488231.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 132884136.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59895 + ... + 62073.
Almost surely, 2132884136 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 132884136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226153200).
132884136 is an abundant number, since it is smaller than the sum of its proper divisors (319422264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132884136 is a wasteful number, since it uses less digits than its factorization.
132884136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2220 (or 2202 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 132884136 is about 11527.5381586877. The cubic root of 132884136 is about 510.2986025289.
It can be divided in two parts, 13288 and 4136, that added together give a square (17424 = 1322).
The spelling of 132884136 in words is "one hundred thirty-two million, eight hundred eighty-four thousand, one hundred thirty-six".
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