Base | Representation |
---|---|
bin | 1111110011000… |
… | …00101001010000 |
3 | 100020100112101000 |
4 | 13321200221100 |
5 | 232411011212 |
6 | 21052142000 |
7 | 3166241166 |
oct | 771405120 |
9 | 306315330 |
10 | 132516432 |
11 | 68890614 |
12 | 38467900 |
13 | 215b9cb9 |
14 | 13857236 |
15 | b9791dc |
hex | 7e60a50 |
132516432 has 80 divisors (see below), whose sum is σ = 396938880. Its totient is φ = 42248448.
The previous prime is 132516421. The next prime is 132516451. The reversal of 132516432 is 234615231.
132516432 is a `hidden beast` number, since 13 + 2 + 5 + 1 + 643 + 2 = 666.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 132516396 and 132516405.
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, 3268 + ... + 16604.
It is an arithmetic number, because the mean of its divisors is an integer number (4961736).
Almost surely, 2132516432 is an apocalyptic number.
132516432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132516432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).
132516432 is an abundant number, since it is smaller than the sum of its proper divisors (264422448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132516432 is a wasteful number, since it uses less digits than its factorization.
132516432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13377 (or 13365 counting only the distinct ones).
The product of its digits is 4320, while the sum is 27.
The square root of 132516432 is about 11511.5781715628. The cubic root of 132516432 is about 509.8274849034.
It can be divided in two parts, 13251 and 6432, that added together give a 9-th power (19683 = 39).
The spelling of 132516432 in words is "one hundred thirty-two million, five hundred sixteen thousand, four hundred thirty-two".
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