Base | Representation |
---|---|
bin | 110010111110… |
… | …001110000000 |
3 | 221010212021200 |
4 | 302332032000 |
5 | 11410041143 |
6 | 1154221200 |
7 | 221401260 |
oct | 62761600 |
9 | 27125250 |
10 | 13362048 |
11 | 75a7117 |
12 | 4584800 |
13 | 29cac4b |
14 | 1abb7a0 |
15 | 128e1d3 |
hex | cbe380 |
13362048 has 96 divisors (see below), whose sum is σ = 43970160. Its totient is φ = 3815424.
The previous prime is 13362047. The next prime is 13362049. The reversal of 13362048 is 84026331.
It is a happy number.
13362048 is a `hidden beast` number, since 1 + 33 + 620 + 4 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (13362047) and next prime (13362049).
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13362043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7236 + ... + 8892.
Almost surely, 213362048 is an apocalyptic number.
13362048 is a gapful number since it is divisible by the number (18) 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 13362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21985080).
13362048 is an abundant number, since it is smaller than the sum of its proper divisors (30608112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13362048 is a wasteful number, since it uses less digits than its factorization.
13362048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1684 (or 1669 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 13362048 is about 3655.4135196992. The cubic root of 13362048 is about 237.2963232558.
Adding to 13362048 its reverse (84026331), we get a palindrome (97388379).
The spelling of 13362048 in words is "thirteen million, three hundred sixty-two thousand, forty-eight".
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