Base | Representation |
---|---|
bin | 110010100011… |
… | …110101110000 |
3 | 220221101001220 |
4 | 302203311300 |
5 | 11343112000 |
6 | 1152025040 |
7 | 220441254 |
oct | 62436560 |
9 | 26841056 |
10 | 13254000 |
11 | 7532a21 |
12 | 4532180 |
13 | 2990a06 |
14 | 1a90264 |
15 | 126c1a0 |
hex | ca3d70 |
13254000 has 120 divisors (see below), whose sum is σ = 43659408. Its totient is φ = 3459200.
The previous prime is 13253993. The next prime is 13254011. The reversal of 13254000 is 45231.
13254000 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 (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
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, 281977 + ... + 282023.
Almost surely, 213254000 is an apocalyptic number.
13254000 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 13254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829704).
13254000 is an abundant number, since it is smaller than the sum of its proper divisors (30405408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13254000 is an equidigital number, since it uses as much as digits as its factorization.
13254000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 120 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 15.
The square root of 13254000 is about 3640.6043454350. The cubic root of 13254000 is about 236.6549841045.
Multiplying 13254000 by its sum of digits (15), we get a square (198810000 = 141002).
13254000 divided by its sum of digits (15) gives a square (883600 = 9402).
Adding to 13254000 its reverse (45231), we get a palindrome (13299231).
The spelling of 13254000 in words is "thirteen million, two hundred fifty-four thousand".
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