| Base | Representation |
|---|---|
| bin | 110100010011… |
| … | …110111000000 |
| 3 | 221210200110200 |
| 4 | 310103313000 |
| 5 | 12002302312 |
| 6 | 1205525200 |
| 7 | 224362050 |
| oct | 64236700 |
| 9 | 27720420 |
| 10 | 13712832 |
| 11 | 7816721 |
| 12 | 4713800 |
| 13 | 2ac1803 |
| 14 | 1b6d560 |
| 15 | 130d0dc |
| hex | d13dc0 |
13712832 has 168 divisors, whose sum is σ = 47548800. Its totient is φ = 3691008.
The previous prime is 13712821. The next prime is 13712833. The reversal of 13712832 is 23821731.
It is a tau number, because it is divible by the number of its divisors (168).
It is a super-2 number, since 2×137128322 = 376083522920448, which contains 22 as substring.
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.
It is a junction number, because it is equal to n+sod(n) for n = 13712796 and 13712805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13712833) 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, 76519 + ... + 76697.
Almost surely, 213712832 is an apocalyptic number.
13712832 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 13712832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774400).
13712832 is an abundant number, since it is smaller than the sum of its proper divisors (33835968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13712832 is a wasteful number, since it uses less digits than its factorization.
13712832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223 (or 210 counting only the distinct ones).
The product of its digits is 2016, while the sum is 27.
The square root of 13712832 is about 3703.0841200275. The cubic root of 13712832 is about 239.3549344301.
The spelling of 13712832 in words is "thirteen million, seven hundred twelve thousand, eight hundred thirty-two".
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