Base | Representation |
---|---|
bin | 100111101101… |
… | …1110000100000 |
3 | 1110011220212220 |
4 | 1033123300200 |
5 | 20312314242 |
6 | 2022151040 |
7 | 341664444 |
oct | 117336040 |
9 | 43156786 |
10 | 20823072 |
11 | 10832756 |
12 | 6b82480 |
13 | 4410c5a |
14 | 2aa0824 |
15 | 1c64bec |
hex | 13dbc20 |
20823072 has 48 divisors (see below), whose sum is σ = 56431872. Its totient is φ = 6716160.
The previous prime is 20823059. The next prime is 20823083. The reversal of 20823072 is 27032802.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 6474.
It is an arithmetic number, because the mean of its divisors is an integer number (1175664).
Almost surely, 220823072 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 20823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215936).
20823072 is an abundant number, since it is smaller than the sum of its proper divisors (35608800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20823072 is a wasteful number, since it uses less digits than its factorization.
20823072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7041 (or 7033 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 24.
The square root of 20823072 is about 4563.2304346811. The cubic root of 20823072 is about 275.1154204206.
Adding to 20823072 its reverse (27032802), we get a palindrome (47855874).
It can be divided in two parts, 2082307 and 2, that multiplied together give a palindrome (4164614).
The spelling of 20823072 in words is "twenty million, eight hundred twenty-three thousand, seventy-two".
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