Base | Representation |
---|---|
bin | 110001101101… |
… | …101100000000 |
3 | 220112002210210 |
4 | 301231230000 |
5 | 11314012232 |
6 | 1143154120 |
7 | 215525505 |
oct | 61555400 |
9 | 26462723 |
10 | 13032192 |
11 | 73a1308 |
12 | 4445940 |
13 | 2913a74 |
14 | 1a334ac |
15 | 12265cc |
hex | c6db00 |
13032192 has 72 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 4264960.
The previous prime is 13032169. The next prime is 13032193. The reversal of 13032192 is 29123031.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (13032193) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54409 + ... + 54647.
It is an arithmetic number, because the mean of its divisors is an integer number (490560).
Almost surely, 213032192 is an apocalyptic number.
13032192 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 13032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).
13032192 is an abundant number, since it is smaller than the sum of its proper divisors (22288128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13032192 is an equidigital number, since it uses as much as digits as its factorization.
13032192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 329 (or 315 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 21.
The square root of 13032192 is about 3610.0127423598. The cubic root of 13032192 is about 235.3273963910.
The spelling of 13032192 in words is "thirteen million, thirty-two thousand, one hundred ninety-two".
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