Base | Representation |
---|---|
bin | 100111100010… |
… | …0010000100000 |
3 | 1110000000211212 |
4 | 1033010100200 |
5 | 20301224231 |
6 | 2020125252 |
7 | 341114015 |
oct | 117042040 |
9 | 43000755 |
10 | 20726816 |
11 | 10777400 |
12 | 6b36828 |
13 | 43a91b6 |
14 | 2a7770c |
15 | 1c4642b |
hex | 13c4420 |
20726816 has 72 divisors (see below), whose sum is σ = 46151532. Its totient is φ = 9152000.
The previous prime is 20726813. The next prime is 20726819. The reversal of 20726816 is 61862702.
It is an interprime number because it is at equal distance from previous prime (20726813) and next prime (20726819).
It can be written as a sum of positive squares in 2 ways, for example, as 17472400 + 3254416 = 4180^2 + 1804^2 .
It is a Harshad number since it is a multiple of its sum of digits (32).
It is not an unprimeable number, because it can be changed into a prime (20726813) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205166 + ... + 205266.
Almost surely, 220726816 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 20726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075766).
20726816 is an abundant number, since it is smaller than the sum of its proper divisors (25424716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20726816 is a wasteful number, since it uses less digits than its factorization.
20726816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 167 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 32.
The square root of 20726816 is about 4552.6713037512. The cubic root of 20726816 is about 274.6908525953.
It can be divided in two parts, 2072 and 6816, that added together give a palindrome (8888).
The spelling of 20726816 in words is "twenty million, seven hundred twenty-six thousand, eight hundred sixteen".
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