Base | Representation |
---|---|
bin | 111101000101… |
… | …0001001010000 |
3 | 2020020221110111 |
4 | 1322022021100 |
5 | 31144214440 |
6 | 3102211104 |
7 | 536122603 |
oct | 172121120 |
9 | 66227414 |
10 | 32023120 |
11 | 17092498 |
12 | a883a94 |
13 | 6832abc |
14 | 437833a |
15 | 2c284ea |
hex | 1e8a250 |
32023120 has 40 divisors (see below), whose sum is σ = 74689416. Its totient is φ = 12768768.
The previous prime is 32023099. The next prime is 32023157. The reversal of 32023120 is 2132023.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 30958096 = 1032^2 + 5564^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a self number, because there is not a number n which added to its sum of digits gives 32023120.
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, 48714 + ... + 49366.
Almost surely, 232023120 is an apocalyptic number.
It is an amenable number.
32023120 is an abundant number, since it is smaller than the sum of its proper divisors (42666296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32023120 is a wasteful number, since it uses less digits than its factorization.
32023120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1279 (or 1273 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 32023120 is about 5658.8974191091. The cubic root of 32023120 is about 317.5566518043.
Adding to 32023120 its reverse (2132023), we get a palindrome (34155143).
It can be divided in two parts, 320 and 23120, that multiplied together give a square (7398400 = 27202).
The spelling of 32023120 in words is "thirty-two million, twenty-three thousand, one hundred twenty".
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