Base | Representation |
---|---|
bin | 110011111101… |
… | …101101100000 |
3 | 221122002000200 |
4 | 303331231200 |
5 | 11441401422 |
6 | 1203545200 |
7 | 223533420 |
oct | 63755540 |
9 | 27562020 |
10 | 13622112 |
11 | 7764549 |
12 | 468b200 |
13 | 2a8c42a |
14 | 1b48480 |
15 | 12e12ac |
hex | cfdb60 |
13622112 has 144 divisors (see below), whose sum is σ = 45995040. Its totient is φ = 3741696.
The previous prime is 13622101. The next prime is 13622123. The reversal of 13622112 is 21122631.
It is an interprime number because it is at equal distance from previous prime (13622101) and next prime (13622123).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58348 + ... + 58580.
It is an arithmetic number, because the mean of its divisors is an integer number (319410).
Almost surely, 213622112 is an apocalyptic number.
13622112 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 13622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).
13622112 is an abundant number, since it is smaller than the sum of its proper divisors (32372928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13622112 is a wasteful number, since it uses less digits than its factorization.
13622112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 285 (or 274 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 13622112 is about 3690.8145442436. The cubic root of 13622112 is about 238.8259325557.
Adding to 13622112 its reverse (21122631), we get a palindrome (34744743).
The spelling of 13622112 in words is "thirteen million, six hundred twenty-two thousand, one hundred twelve".
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