Base | Representation |
---|---|
bin | 110001101110… |
… | …011101000010 |
3 | 220112021010000 |
4 | 301232131002 |
5 | 11314112310 |
6 | 1143220430 |
7 | 215540610 |
oct | 61563502 |
9 | 26467100 |
10 | 13035330 |
11 | 73a3700 |
12 | 4447716 |
13 | 2915319 |
14 | 1a346b0 |
15 | 12274c0 |
hex | c6e742 |
13035330 has 240 divisors, whose sum is σ = 46347840. Its totient is φ = 2566080.
The previous prime is 13035329. The next prime is 13035331. The reversal of 13035330 is 3353031.
13035330 is a `hidden beast` number, since 130 + 3 + 533 + 0 = 666.
13035330 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 an interprime number because it is at equal distance from previous prime (13035329) and next prime (13035331).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13035331) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 686061 + ... + 686079.
It is an arithmetic number, because the mean of its divisors is an integer number (193116).
Almost surely, 213035330 is an apocalyptic number.
13035330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 13035330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).
13035330 is an abundant number, since it is smaller than the sum of its proper divisors (33312510).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13035330 is a wasteful number, since it uses less digits than its factorization.
13035330 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 405, while the sum is 18.
The square root of 13035330 is about 3610.4473407045. The cubic root of 13035330 is about 235.3462829070.
Adding to 13035330 its reverse (3353031), we get a palindrome (16388361).
The spelling of 13035330 in words is "thirteen million, thirty-five thousand, three hundred thirty".
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