Base | Representation |
---|---|
bin | 101100001110… |
… | …1101001101000 |
3 | 1121122011212100 |
4 | 1120131221220 |
5 | 21414040440 |
6 | 2145013400 |
7 | 401053452 |
oct | 130355150 |
9 | 47564770 |
10 | 23190120 |
11 | 120aa098 |
12 | 7924260 |
13 | 4a5c485 |
14 | 31192d2 |
15 | 2081230 |
hex | 161da68 |
23190120 has 96 divisors (see below), whose sum is σ = 77449320. Its totient is φ = 6013440.
The previous prime is 23190119. The next prime is 23190137. The reversal of 23190120 is 2109132.
23190120 = 2582 + 2592 + ... + 4422.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 7650756 = 3942^2 + 2766^2 .
It is a super-2 number, since 2×231901202 = 1075563331228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 23190093 and 23190102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12450 + ... + 14190.
Almost surely, 223190120 is an apocalyptic number.
23190120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23190120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724660).
23190120 is an abundant number, since it is smaller than the sum of its proper divisors (54259200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23190120 is a wasteful number, since it uses less digits than its factorization.
23190120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 23190120 is about 4815.6121106252. The cubic root of 23190120 is about 285.1681371676.
Adding to 23190120 its reverse (2109132), we get a palindrome (25299252).
The spelling of 23190120 in words is "twenty-three million, one hundred ninety thousand, one hundred twenty".
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