| Base | Representation |
|---|---|
| bin | 110100110111… |
| … | …010000110000 |
| 3 | 222002001101100 |
| 4 | 310313100300 |
| 5 | 12021422330 |
| 6 | 1213004400 |
| 7 | 225534603 |
| oct | 64672060 |
| 9 | 28061340 |
| 10 | 13857840 |
| 11 | 7905667 |
| 12 | 4783700 |
| 13 | 2b42809 |
| 14 | 1baa33a |
| 15 | 133b060 |
| hex | d37430 |
13857840 has 120 divisors (see below), whose sum is σ = 49037040. Its totient is φ = 3497472.
The previous prime is 13857829. The next prime is 13857841. The reversal of 13857840 is 4875831.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 13857795 and 13857804.
It is not an unprimeable number, because it can be changed into a prime (13857841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13174 + ... + 14186.
It is an arithmetic number, because the mean of its divisors is an integer number (408642).
Almost surely, 213857840 is an apocalyptic number.
13857840 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 13857840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24518520).
13857840 is an abundant number, since it is smaller than the sum of its proper divisors (35179200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13857840 is a wasteful number, since it uses less digits than its factorization.
13857840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1051 (or 1042 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The square root of 13857840 is about 3722.6119862269. The cubic root of 13857840 is about 240.1956737557.
Subtracting from 13857840 its reverse (4875831), we obtain a square (8982009 = 29972).
The spelling of 13857840 in words is "thirteen million, eight hundred fifty-seven thousand, eight hundred forty".
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