| Base | Representation |
|---|---|
| bin | 110100101100… |
| … | …011110000000 |
| 3 | 221222210202000 |
| 4 | 310230132000 |
| 5 | 12014014012 |
| 6 | 1212024000 |
| 7 | 225261660 |
| oct | 64543600 |
| 9 | 27883660 |
| 10 | 13813632 |
| 11 | 7885428 |
| 12 | 4762000 |
| 13 | 2b28661 |
| 14 | 1b981a0 |
| 15 | 132cddc |
| hex | d2c780 |
13813632 has 128 divisors (see below), whose sum is σ = 46675200. Its totient is φ = 3939840.
The previous prime is 13813577. The next prime is 13813637. The reversal of 13813632 is 23631831.
It is a happy number.
13813632 is a `hidden beast` number, since 13 + 8 + 13 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 13813596 and 13813605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13813637) 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, 23907 + ... + 24477.
It is an arithmetic number, because the mean of its divisors is an integer number (364650).
Almost surely, 213813632 is an apocalyptic number.
13813632 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 13813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337600).
13813632 is an abundant number, since it is smaller than the sum of its proper divisors (32861568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13813632 is an equidigital number, since it uses as much as digits as its factorization.
13813632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 601 (or 583 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 13813632 is about 3716.6694768300. The cubic root of 13813632 is about 239.9399849937.
The spelling of 13813632 in words is "thirteen million, eight hundred thirteen thousand, six hundred thirty-two".
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