Base | Representation |
---|---|
bin | 101101010101… |
… | …1010100000000 |
3 | 1122201122211000 |
4 | 1122223110000 |
5 | 22041122433 |
6 | 2205252000 |
7 | 406021236 |
oct | 132532400 |
9 | 48648730 |
10 | 23770368 |
11 | 12466036 |
12 | 7b64000 |
13 | 4c0360b |
14 | 322a956 |
15 | 2148113 |
hex | 16ab500 |
23770368 has 144 divisors (see below), whose sum is σ = 74401600. Its totient is φ = 7464960.
The previous prime is 23770367. The next prime is 23770379. The reversal of 23770368 is 86307732.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23770361) 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, 131238 + ... + 131418.
Almost surely, 223770368 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 23770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200800).
23770368 is an abundant number, since it is smaller than the sum of its proper divisors (50631232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23770368 is a wasteful number, since it uses less digits than its factorization.
23770368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 225 (or 205 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 36.
The square root of 23770368 is about 4875.4864372696. The cubic root of 23770368 is about 287.5270013708.
The spelling of 23770368 in words is "twenty-three million, seven hundred seventy thousand, three hundred sixty-eight".
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