Base | Representation |
---|---|
bin | 101001011111… |
… | …110110000000 |
3 | 202110200021100 |
4 | 221133312000 |
5 | 10241101321 |
6 | 1025054400 |
7 | 161315160 |
oct | 51376600 |
9 | 22420240 |
10 | 10878336 |
11 | 6160067 |
12 | 3787400 |
13 | 233b5b1 |
14 | 16325a0 |
15 | e4d326 |
hex | a5fd80 |
10878336 has 192 divisors, whose sum is σ = 38188800. Its totient is φ = 2903040.
The previous prime is 10878331. The next prime is 10878337. The reversal of 10878336 is 63387801.
10878336 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 a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10878336.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10878331) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153181 + ... + 153251.
It is an arithmetic number, because the mean of its divisors is an integer number (198900).
Almost surely, 210878336 is an apocalyptic number.
10878336 is a gapful number since it is divisible by the number (16) 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 10878336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).
10878336 is an abundant number, since it is smaller than the sum of its proper divisors (27310464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10878336 is a wasteful number, since it uses less digits than its factorization.
10878336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 117 (or 102 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 10878336 is about 3298.2322537990. The cubic root of 10878336 is about 221.5750331362.
The spelling of 10878336 in words is "ten million, eight hundred seventy-eight thousand, three hundred thirty-six".
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