Base | Representation |
---|---|
bin | 100110100110… |
… | …0001010000000 |
3 | 1102002001001000 |
4 | 1031030022000 |
5 | 20140004010 |
6 | 2001412000 |
7 | 333664551 |
oct | 115141200 |
9 | 42061030 |
10 | 20234880 |
11 | 10470846 |
12 | 693a000 |
13 | 4266303 |
14 | 298a328 |
15 | 1b9a7c0 |
hex | 134c280 |
20234880 has 128 divisors (see below), whose sum is σ = 71726400. Its totient is φ = 5391360.
The previous prime is 20234849. The next prime is 20234881. The reversal of 20234880 is 8843202.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×202348802 = 818900737228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (20234881) 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, 16695 + ... + 17865.
Almost surely, 220234880 is an apocalyptic number.
20234880 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 20234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35863200).
20234880 is an abundant number, since it is smaller than the sum of its proper divisors (51491520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20234880 is a wasteful number, since it uses less digits than its factorization.
20234880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1199 (or 1181 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 20234880 is about 4498.3196862829. The cubic root of 20234880 is about 272.5002328646.
It can be divided in two parts, 2023 and 4880, that added together give a triangular number (6903 = T117).
The spelling of 20234880 in words is "twenty million, two hundred thirty-four thousand, eight hundred eighty".
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