Base | Representation |
---|---|
bin | 1010101110101… |
… | …11000110100100 |
3 | 20021100222112110 |
4 | 11113113012210 |
5 | 141020310040 |
6 | 12533121020 |
7 | 2142033612 |
oct | 527270644 |
9 | 207328473 |
10 | 90010020 |
11 | 46898951 |
12 | 26189170 |
13 | 15856689 |
14 | bd506b2 |
15 | 7d7e980 |
hex | 55d71a4 |
90010020 has 48 divisors (see below), whose sum is σ = 254358720. Its totient is φ = 23780736.
The previous prime is 90010009. The next prime is 90010027. The reversal of 90010020 is 2001009.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 90009978 and 90010005.
It is not an unprimeable number, because it can be changed into a prime (90010027) 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, 342 + ... + 13421.
It is an arithmetic number, because the mean of its divisors is an integer number (5299140).
Almost surely, 290010020 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 90010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127179360).
90010020 is an abundant number, since it is smaller than the sum of its proper divisors (164348700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90010020 is a wasteful number, since it uses less digits than its factorization.
90010020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13884 (or 13882 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 90010020 is about 9487.3610661764. The cubic root of 90010020 is about 448.1571050295.
Adding to 90010020 its reverse (2001009), we get a palindrome (92011029).
The spelling of 90010020 in words is "ninety million, ten thousand, twenty".
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