Base | Representation |
---|---|
bin | 101000100101… |
… | …1111010000000 |
3 | 1111001021000020 |
4 | 1101023322000 |
5 | 20422014212 |
6 | 2040053440 |
7 | 345616623 |
oct | 121137200 |
9 | 44037006 |
10 | 21282432 |
11 | 11016896 |
12 | 7164280 |
13 | 4542072 |
14 | 2b7ddba |
15 | 1d05d8c |
hex | 144be80 |
21282432 has 64 divisors (see below), whose sum is σ = 59527200. Its totient is φ = 6718464.
The previous prime is 21282409. The next prime is 21282467. The reversal of 21282432 is 23428212.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
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, 5838 + ... + 8754.
Almost surely, 221282432 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 21282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763600).
21282432 is an abundant number, since it is smaller than the sum of its proper divisors (38244768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21282432 is a wasteful number, since it uses less digits than its factorization.
21282432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2953 (or 2941 counting only the distinct ones).
The product of its digits is 1536, while the sum is 24.
The square root of 21282432 is about 4613.2886317680. The cubic root of 21282432 is about 277.1237527382.
It can be divided in two parts, 2128 and 2432, that added together give a triangular number (4560 = T95).
The spelling of 21282432 in words is "twenty-one million, two hundred eighty-two thousand, four hundred thirty-two".
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