Base | Representation |
---|---|
bin | 110010010111… |
… | …011000111000 |
3 | 220211210010000 |
4 | 302113120320 |
5 | 11334444000 |
6 | 1150553000 |
7 | 220136466 |
oct | 62273070 |
9 | 26753100 |
10 | 13203000 |
11 | 74a8678 |
12 | 4508760 |
13 | 2973735 |
14 | 1a79836 |
15 | 125c000 |
hex | c97638 |
13203000 has 160 divisors (see below), whose sum is σ = 46434960. Its totient is φ = 3499200.
The previous prime is 13202983. The next prime is 13203011. The reversal of 13203000 is 30231.
It is a happy number.
13203000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a zygodrome in base 5.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80919 + ... + 81081.
Almost surely, 213203000 is an apocalyptic number.
13203000 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 13203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23217480).
13203000 is an abundant number, since it is smaller than the sum of its proper divisors (33231960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13203000 is a wasteful number, since it uses less digits than its factorization.
13203000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 196 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 13203000 is about 3633.5932628735. The cubic root of 13203000 is about 236.3510527638.
Adding to 13203000 its reverse (30231), we get a palindrome (13233231).
The spelling of 13203000 in words is "thirteen million, two hundred three thousand".
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