Base | Representation |
---|---|
bin | 1111110010111… |
… | …11010011000000 |
3 | 100020100020210120 |
4 | 13321133103000 |
5 | 232410322122 |
6 | 21052100240 |
7 | 3166216122 |
oct | 771372300 |
9 | 306306716 |
10 | 132510912 |
11 | 68887456 |
12 | 38464680 |
13 | 215b7631 |
14 | 13855212 |
15 | b97775c |
hex | 7e5f4c0 |
132510912 has 112 divisors (see below), whose sum is σ = 376196352. Its totient is φ = 41057280.
The previous prime is 132510901. The next prime is 132510913. The reversal of 132510912 is 219015231.
It is a super-3 number, since 3×1325109123 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (132510913) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162987 + ... + 163797.
It is an arithmetic number, because the mean of its divisors is an integer number (3358896).
Almost surely, 2132510912 is an apocalyptic number.
132510912 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 132510912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188098176).
132510912 is an abundant number, since it is smaller than the sum of its proper divisors (243685440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132510912 is a wasteful number, since it uses less digits than its factorization.
132510912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 886 (or 876 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 24.
The square root of 132510912 is about 11511.3384104543. The cubic root of 132510912 is about 509.8204058145.
The spelling of 132510912 in words is "one hundred thirty-two million, five hundred ten thousand, nine hundred twelve".
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