Base | Representation |
---|---|
bin | 111100101110… |
… | …110011000000 |
3 | 1002221211120111 |
4 | 330232303000 |
5 | 13033422240 |
6 | 1325121104 |
7 | 252214633 |
oct | 74566300 |
9 | 32854514 |
10 | 15920320 |
11 | 8a94199 |
12 | 53b9194 |
13 | 33b5510 |
14 | 2185c1a |
15 | 15e71ea |
hex | f2ecc0 |
15920320 has 112 divisors (see below), whose sum is σ = 42245280. Its totient is φ = 5677056.
The previous prime is 15920297. The next prime is 15920321. The reversal of 15920320 is 2302951.
15920320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 15920291 and 15920300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (15920321) 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, 178836 + ... + 178924.
It is an arithmetic number, because the mean of its divisors is an integer number (377190).
Almost surely, 215920320 is an apocalyptic number.
15920320 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 15920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21122640).
15920320 is an abundant number, since it is smaller than the sum of its proper divisors (26324960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15920320 is a wasteful number, since it uses less digits than its factorization.
15920320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 22.
The square root of 15920320 is about 3990.0275688271. The cubic root of 15920320 is about 251.5652198952.
The spelling of 15920320 in words is "fifteen million, nine hundred twenty thousand, three hundred twenty".
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