Base | Representation |
---|---|
bin | 1111110101111… |
… | …01100100000000 |
3 | 100021001212110000 |
4 | 13322331210000 |
5 | 233010201044 |
6 | 21104240000 |
7 | 3202414611 |
oct | 772754400 |
9 | 307055400 |
10 | 132897024 |
11 | 69020557 |
12 | 38610000 |
13 | 216c12c0 |
14 | 13915c08 |
15 | ba01d69 |
hex | 7ebd900 |
132897024 has 360 divisors, whose sum is σ = 467442360. Its totient is φ = 37158912.
The previous prime is 132896999. The next prime is 132897049. The reversal of 132897024 is 420798231.
It is an interprime number because it is at equal distance from previous prime (132896999) and next prime (132897049).
It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 116640000 = 4032^2 + 10800^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 132897024.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4582642 + ... + 4582670.
It is an arithmetic number, because the mean of its divisors is an integer number (1298451).
Almost surely, 2132897024 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 132897024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233721180).
132897024 is an abundant number, since it is smaller than the sum of its proper divisors (334545336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132897024 is a wasteful number, since it uses less digits than its factorization.
132897024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 87 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 132897024 is about 11528.0971543443. The cubic root of 132897024 is about 510.3150993959.
The spelling of 132897024 in words is "one hundred thirty-two million, eight hundred ninety-seven thousand, twenty-four".
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