Base | Representation |
---|---|
bin | 110001100101… |
… | …111010001100 |
3 | 220110111002210 |
4 | 301211322030 |
5 | 11312002312 |
6 | 1142350420 |
7 | 215333562 |
oct | 61457214 |
9 | 26414083 |
10 | 13000332 |
11 | 737a384 |
12 | 442b410 |
13 | 2902407 |
14 | 1a25a32 |
15 | 121be3c |
hex | c65e8c |
13000332 has 36 divisors (see below), whose sum is σ = 32025336. Its totient is φ = 4104000.
The previous prime is 13000331. The next prime is 13000333. The reversal of 13000332 is 23300031.
It is a happy number.
13000332 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 (13000331) and next prime (13000333).
It is a super-2 number, since 2×130003322 = 338017264220448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (13000331) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2832 + ... + 5832.
Almost surely, 213000332 is an apocalyptic number.
13000332 is a gapful number since it is divisible by the number (12) 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 13000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16012668).
13000332 is an abundant number, since it is smaller than the sum of its proper divisors (19025004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13000332 is a wasteful number, since it uses less digits than its factorization.
13000332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3046 (or 3025 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 12.
The square root of 13000332 is about 3605.5973152863. The cubic root of 13000332 is about 235.1354704041.
Adding to 13000332 its reverse (23300031), we get a palindrome (36300363).
The spelling of 13000332 in words is "thirteen million, three hundred thirty-two", and thus it is an aban number.
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