Base | Representation |
---|---|
bin | 100111111011… |
… | …1010101000000 |
3 | 1110101122210102 |
4 | 1033313111000 |
5 | 20324423000 |
6 | 2024421532 |
7 | 342644621 |
oct | 117672500 |
9 | 43348712 |
10 | 20936000 |
11 | 108aa588 |
12 | 70178a8 |
13 | 4450487 |
14 | 2acda48 |
15 | 1c883d5 |
hex | 13f7540 |
20936000 has 56 divisors (see below), whose sum is σ = 51867816. Its totient is φ = 8371200.
The previous prime is 20935997. The next prime is 20936017. The reversal of 20936000 is 63902.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 20720704 = 464^2 + 4552^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6692 + ... + 9308.
It is an arithmetic number, because the mean of its divisors is an integer number (926211).
Almost surely, 220936000 is an apocalyptic number.
20936000 is a gapful number since it is divisible by the number (20) 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 20936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933908).
20936000 is an abundant number, since it is smaller than the sum of its proper divisors (30931816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20936000 is an equidigital number, since it uses as much as digits as its factorization.
20936000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2644 (or 2624 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 20.
The square root of 20936000 is about 4575.5873939856. The cubic root of 20936000 is about 275.6118607723.
Adding to 20936000 its reverse (63902), we get a palindrome (20999902).
The spelling of 20936000 in words is "twenty million, nine hundred thirty-six thousand".
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