| Base | Representation |
|---|---|
| bin | 110100000000… |
| … | …010111111100 |
| 3 | 221122121222200 |
| 4 | 310000113330 |
| 5 | 11442224040 |
| 6 | 1204111500 |
| 7 | 223610262 |
| oct | 64002774 |
| 9 | 27577880 |
| 10 | 13633020 |
| 11 | 7771765 |
| 12 | 4695590 |
| 13 | 2a9439b |
| 14 | 1b4c432 |
| 15 | 12e4630 |
| hex | d005fc |
13633020 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 3345408.
The previous prime is 13633019. The next prime is 13633027. The reversal of 13633020 is 2033631.
It is a happy number.
13633020 is a `hidden beast` number, since 1 + 363 + 302 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 13632984 and 13633002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13633027) 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 47 ways as a sum of consecutive naturals, for example, 153136 + ... + 153224.
It is an arithmetic number, because the mean of its divisors is an integer number (311220).
Almost surely, 213633020 is an apocalyptic number.
13633020 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 13633020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).
13633020 is an abundant number, since it is smaller than the sum of its proper divisors (31182660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13633020 is a wasteful number, since it uses less digits than its factorization.
13633020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 159 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 13633020 is about 3692.2919711204. The cubic root of 13633020 is about 238.8896627181.
Adding to 13633020 its reverse (2033631), we get a palindrome (15666651).
The spelling of 13633020 in words is "thirteen million, six hundred thirty-three thousand, twenty".
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