Base | Representation |
---|---|
bin | 101001101101… |
… | …001101110000 |
3 | 202120110101210 |
4 | 221231031300 |
5 | 10244324404 |
6 | 1030200120 |
7 | 161633640 |
oct | 51551560 |
9 | 22513353 |
10 | 10933104 |
11 | 6198226 |
12 | 37b3040 |
13 | 235a4c0 |
14 | 1648520 |
15 | e5e689 |
hex | a6d370 |
10933104 has 80 divisors (see below), whose sum is σ = 34775552. Its totient is φ = 2882304.
The previous prime is 10933103. The next prime is 10933121. The reversal of 10933104 is 40133901.
10933104 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 Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10933103) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117 + ... + 5619.
Almost surely, 210933104 is an apocalyptic number.
10933104 is a gapful number since it is divisible by the number (14) 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 10933104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387776).
10933104 is an abundant number, since it is smaller than the sum of its proper divisors (23842448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10933104 is a wasteful number, since it uses less digits than its factorization.
10933104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2534 (or 2528 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 21.
The square root of 10933104 is about 3306.5244593077. The cubic root of 10933104 is about 221.9462575858.
The spelling of 10933104 in words is "ten million, nine hundred thirty-three thousand, one hundred four".
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