Base | Representation |
---|---|
bin | 111111101111… |
… | …1011101000000 |
3 | 2022212222011021 |
4 | 1333133131000 |
5 | 32023433440 |
6 | 3152155224 |
7 | 554034445 |
oct | 177373500 |
9 | 68788137 |
10 | 33421120 |
11 | 17957867 |
12 | b238b14 |
13 | 6c02215 |
14 | 461d9cc |
15 | 2e0284a |
hex | 1fdf740 |
33421120 has 56 divisors (see below), whose sum is σ = 80759808. Its totient is φ = 13171200.
The previous prime is 33421103. The next prime is 33421121. The reversal of 33421120 is 2112433.
It is a happy number.
It is a super-2 number, since 2×334211202 = 2233942524108800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 33421094 and 33421103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33421121) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21985 + ... + 23455.
Almost surely, 233421120 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 33421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40379904).
33421120 is an abundant number, since it is smaller than the sum of its proper divisors (47338688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33421120 is a wasteful number, since it uses less digits than its factorization.
33421120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 33421120 is about 5781.1002413036. The cubic root of 33421120 is about 322.1120708619.
Adding to 33421120 its reverse (2112433), we get a palindrome (35533553).
The spelling of 33421120 in words is "thirty-three million, four hundred twenty-one thousand, one hundred twenty".
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