Base | Representation |
---|---|
bin | 111011111100… |
… | …001100010000 |
3 | 1002120022020110 |
4 | 323330030100 |
5 | 13010304130 |
6 | 1320441320 |
7 | 250362420 |
oct | 73741420 |
9 | 32508213 |
10 | 15713040 |
11 | 8962492 |
12 | 5319240 |
13 | 3342075 |
14 | 2130480 |
15 | 15a5ab0 |
hex | efc310 |
15713040 has 160 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 3497472.
The previous prime is 15712999. The next prime is 15713053. The reversal of 15713040 is 4031751.
15713040 is digitally balanced in base 2, 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 (21).
It is a junction number, because it is equal to n+sod(n) for n = 15712998 and 15713016.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78861 + ... + 79059.
It is an arithmetic number, because the mean of its divisors is an integer number (357120).
Almost surely, 215713040 is an apocalyptic number.
15713040 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 15713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).
15713040 is an abundant number, since it is smaller than the sum of its proper divisors (41426160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15713040 is a wasteful number, since it uses less digits than its factorization.
15713040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 269 (or 263 counting only the distinct ones).
The product of its (nonzero) digits is 420, while the sum is 21.
The square root of 15713040 is about 3963.9677092529. The cubic root of 15713040 is about 250.4686675207.
Adding to 15713040 its reverse (4031751), we get a palindrome (19744791).
The spelling of 15713040 in words is "fifteen million, seven hundred thirteen thousand, forty".
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