Base | Representation |
---|---|
bin | 101101011000… |
… | …0001001000000 |
3 | 1122202122221110 |
4 | 1122300021000 |
5 | 22042241034 |
6 | 2205523320 |
7 | 406133010 |
oct | 132601100 |
9 | 48678843 |
10 | 23790144 |
11 | 12479984 |
12 | 7b73540 |
13 | 4c0c611 |
14 | 3233c40 |
15 | 214dde9 |
hex | 16b0240 |
23790144 has 112 divisors (see below), whose sum is σ = 74387456. Its totient is φ = 6566400.
The previous prime is 23790133. The next prime is 23790167. The reversal of 23790144 is 44109732.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
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, 41379 + ... + 41949.
Almost surely, 223790144 is an apocalyptic number.
23790144 is a gapful number since it is divisible by the number (24) 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 23790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37193728).
23790144 is an abundant number, since it is smaller than the sum of its proper divisors (50597312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23790144 is a wasteful number, since it uses less digits than its factorization.
23790144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 624 (or 614 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 30.
The square root of 23790144 is about 4877.5141209432. The cubic root of 23790144 is about 287.6067162750.
Adding to 23790144 its reverse (44109732), we get a palindrome (67899876).
The spelling of 23790144 in words is "twenty-three million, seven hundred ninety thousand, one hundred forty-four".
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