Base | Representation |
---|---|
bin | 1111110011101… |
… | …01110000000000 |
3 | 100020111220221210 |
4 | 13321311300000 |
5 | 232421243010 |
6 | 21054050120 |
7 | 3200051214 |
oct | 771656000 |
9 | 306456853 |
10 | 132602880 |
11 | 6893a563 |
12 | 384a9940 |
13 | 2161a457 |
14 | 1387a944 |
15 | b994b20 |
hex | 7e75c00 |
132602880 has 176 divisors, whose sum is σ = 433308960. Its totient is φ = 34603008.
The previous prime is 132602879. The next prime is 132602891. The reversal of 132602880 is 88206231.
132602880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366992 + ... + 1367088.
Almost surely, 2132602880 is an apocalyptic number.
132602880 is a gapful number since it is divisible by the number (10) 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 132602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216654480).
132602880 is an abundant number, since it is smaller than the sum of its proper divisors (300706080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132602880 is an equidigital number, since it uses as much as digits as its factorization.
132602880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214 (or 196 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 30.
The square root of 132602880 is about 11515.3323877342. The cubic root of 132602880 is about 509.9383239526.
The spelling of 132602880 in words is "one hundred thirty-two million, six hundred two thousand, eight hundred eighty".
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