| Base | Representation |
|---|---|
| bin | 110100111011… |
| … | …001111000000 |
| 3 | 222002212201000 |
| 4 | 310323033000 |
| 5 | 12022432422 |
| 6 | 1213212000 |
| 7 | 225633210 |
| oct | 64731700 |
| 9 | 28085630 |
| 10 | 13874112 |
| 11 | 791690a |
| 12 | 4791000 |
| 13 | 2b4a045 |
| 14 | 1bb2240 |
| 15 | 1340cac |
| hex | d3b3c0 |
13874112 has 224 divisors, whose sum is σ = 49418240. Its totient is φ = 3732480.
The previous prime is 13874089. The next prime is 13874117. The reversal of 13874112 is 21147831.
13874112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (224).
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13874112 = 1023 + 2343 = 1563 + 2163.
Its product of digits (1344) is a multiple of the sum of its prime factors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13874117) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374958 + ... + 374994.
Almost surely, 213874112 is an apocalyptic number.
13874112 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 13874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24709120).
13874112 is an abundant number, since it is smaller than the sum of its proper divisors (35544128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13874112 is a wasteful number, since it uses less digits than its factorization.
13874112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96 (or 80 counting only the distinct ones).
The product of its digits is 1344, while the sum is 27.
The square root of 13874112 is about 3724.7969072152. The cubic root of 13874112 is about 240.2896502873.
The spelling of 13874112 in words is "thirteen million, eight hundred seventy-four thousand, one hundred twelve".
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