Base | Representation |
---|---|
bin | 101101000111… |
… | …1111100000000 |
3 | 1122111222000010 |
4 | 1122033330000 |
5 | 22024030430 |
6 | 2203024520 |
7 | 405043314 |
oct | 132177400 |
9 | 48458003 |
10 | 23658240 |
11 | 12399871 |
12 | 7b0b140 |
13 | 4b94578 |
14 | 31dbb44 |
15 | 2124cb0 |
hex | 168ff00 |
23658240 has 144 divisors (see below), whose sum is σ = 77557536. Its totient is φ = 6144000.
The previous prime is 23658221. The next prime is 23658277. The reversal of 23658240 is 4285632.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 23658198 and 23658207.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234190 + ... + 234290.
It is an arithmetic number, because the mean of its divisors is an integer number (538594).
Almost surely, 223658240 is an apocalyptic number.
23658240 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 23658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38778768).
23658240 is an abundant number, since it is smaller than the sum of its proper divisors (53899296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23658240 is a wasteful number, since it uses less digits than its factorization.
23658240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 172 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The square root of 23658240 is about 4863.9736841393. The cubic root of 23658240 is about 287.0741875415.
The spelling of 23658240 in words is "twenty-three million, six hundred fifty-eight thousand, two hundred forty".
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