Base | Representation |
---|---|
bin | 100111101111… |
… | …0111001100000 |
3 | 1110012120112100 |
4 | 1033132321200 |
5 | 20313222221 |
6 | 2022330400 |
7 | 342050112 |
oct | 117367140 |
9 | 43176470 |
10 | 20835936 |
11 | 10841390 |
12 | 6b89a00 |
13 | 4416a74 |
14 | 2aa53b2 |
15 | 1c68926 |
hex | 13dee60 |
20835936 has 72 divisors (see below), whose sum is σ = 64648584. Its totient is φ = 6312960.
The previous prime is 20835929. The next prime is 20835959. The reversal of 20835936 is 63953802.
It is a tau number, because it is divible by the number of its divisors (72).
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 20835936.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121 + ... + 6456.
It is an arithmetic number, because the mean of its divisors is an integer number (897897).
Almost surely, 220835936 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20835936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32324292).
20835936 is an abundant number, since it is smaller than the sum of its proper divisors (43812648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20835936 is a wasteful number, since it uses less digits than its factorization.
20835936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6604 (or 6593 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 20835936 is about 4564.6397448211. The cubic root of 20835936 is about 275.1720620187.
The spelling of 20835936 in words is "twenty million, eight hundred thirty-five thousand, nine hundred thirty-six".
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