| Base | Representation |
|---|---|
| bin | 110100010100… |
| … | …110110000000 |
| 3 | 221210220000000 |
| 4 | 310110312000 |
| 5 | 12002414424 |
| 6 | 1210000000 |
| 7 | 224406600 |
| oct | 64246600 |
| 9 | 27726000 |
| 10 | 13716864 |
| 11 | 7819757 |
| 12 | 4716000 |
| 13 | 2ac35b5 |
| 14 | 1b70c00 |
| 15 | 130e3c9 |
| hex | d14d80 |
13716864 has 192 divisors, whose sum is σ = 47674800. Its totient is φ = 3919104.
The previous prime is 13716863. The next prime is 13716881. The reversal of 13716864 is 46861731.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (24192) is a multiple of the sum of its prime divisors (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13716863) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959549 + ... + 1959555.
Almost surely, 213716864 is an apocalyptic number.
13716864 is a gapful number since it is divisible by the number (14) 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 13716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837400).
13716864 is an abundant number, since it is smaller than the sum of its proper divisors (33957936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13716864 is an frugal number, since it uses more digits than its factorization.
13716864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49 (or 12 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 13716864 is about 3703.6284910882. The cubic root of 13716864 is about 239.3783914014.
The spelling of 13716864 in words is "thirteen million, seven hundred sixteen thousand, eight hundred sixty-four".
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