| Base | Representation |
|---|---|
| bin | 110010111110… |
| … | …111100001000 |
| 3 | 221011000100000 |
| 4 | 302332330020 |
| 5 | 11410140000 |
| 6 | 1154243000 |
| 7 | 221413005 |
| oct | 62767410 |
| 9 | 27130300 |
| 10 | 13365000 |
| 11 | 75a9360 |
| 12 | 4586460 |
| 13 | 29cc3ac |
| 14 | 1abc8ac |
| 15 | 1290000 |
| hex | cbef08 |
13365000 has 240 divisors, whose sum is σ = 51171120. Its totient is φ = 3240000.
The previous prime is 13364993. The next prime is 13365007. The reversal of 13365000 is 56331.
13365000 is a `hidden beast` number, since 13 + 3 + 650 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (13364993) and next prime (13365007).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (13365007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1214995 + ... + 1215005.
It is an arithmetic number, because the mean of its divisors is an integer number (213213).
Almost surely, 213365000 is an apocalyptic number.
13365000 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 13365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25585560).
13365000 is an abundant number, since it is smaller than the sum of its proper divisors (37806120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13365000 is an equidigital number, since it uses as much as digits as its factorization.
13365000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 18.
The square root of 13365000 is about 3655.8172820862. The cubic root of 13365000 is about 237.3137968040.
It can be divided in two parts, 1336 and 5000, that added together give a palindrome (6336).
The spelling of 13365000 in words is "thirteen million, three hundred sixty-five thousand".
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