Base | Representation |
---|---|
bin | 110011000000… |
… | …001010010000 |
3 | 221011021012012 |
4 | 303000022100 |
5 | 11410320000 |
6 | 1154322052 |
7 | 221433410 |
oct | 63001220 |
9 | 27137165 |
10 | 13370000 |
11 | 7602096 |
12 | 4589328 |
13 | 2a01757 |
14 | 1ac0640 |
15 | 1291735 |
hex | cc0290 |
13370000 has 100 divisors (see below), whose sum is σ = 37188096. Its totient is φ = 4560000.
The previous prime is 13369999. The next prime is 13370003. The reversal of 13370000 is 7331.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (14).
It is not an unprimeable number, because it can be changed into a prime (13370003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69905 + ... + 70095.
Almost surely, 213370000 is an apocalyptic number.
13370000 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 13370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594048).
13370000 is an abundant number, since it is smaller than the sum of its proper divisors (23818096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13370000 is an equidigital number, since it uses as much as digits as its factorization.
13370000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 226 (or 205 counting only the distinct ones).
The product of its (nonzero) digits is 63, while the sum is 14.
The square root of 13370000 is about 3656.5010597564. The cubic root of 13370000 is about 237.3433870532.
Adding to 13370000 its reverse (7331), we get a palindrome (13377331).
The spelling of 13370000 in words is "thirteen million, three hundred seventy thousand".
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