Base | Representation |
---|---|
bin | 101001110000… |
… | …0101111000000 |
3 | 1112012020020000 |
4 | 1103200233000 |
5 | 21101021112 |
6 | 2101120000 |
7 | 354036111 |
oct | 123405700 |
9 | 45166200 |
10 | 21892032 |
11 | 113a2898 |
12 | 73b9000 |
13 | 46c6686 |
14 | 2c9c208 |
15 | 1dc67dc |
hex | 14e0bc0 |
21892032 has 140 divisors (see below), whose sum is σ = 67123056. Its totient is φ = 7050240.
The previous prime is 21892007. The next prime is 21892033. The reversal of 21892032 is 23029812.
It is a happy number.
It is a super-2 number, since 2×218920322 = 958522130178048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 21891987 and 21892005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21892033) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212493 + ... + 212595.
Almost surely, 221892032 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 21892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33561528).
21892032 is an abundant number, since it is smaller than the sum of its proper divisors (45231024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21892032 is a wasteful number, since it uses less digits than its factorization.
21892032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 168 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 21892032 is about 4678.8921765734. The cubic root of 21892032 is about 279.7448014904.
The spelling of 21892032 in words is "twenty-one million, eight hundred ninety-two thousand, thirty-two".
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