Base | Representation |
---|---|
bin | 101011111111… |
… | …0111100110100 |
3 | 1121101210101000 |
4 | 1113332330310 |
5 | 21401024442 |
6 | 2142203300 |
7 | 400021032 |
oct | 127767464 |
9 | 47353330 |
10 | 23064372 |
11 | 12023671 |
12 | 7883530 |
13 | 4a17176 |
14 | 30c5552 |
15 | 2058d4c |
hex | 15fef34 |
23064372 has 72 divisors (see below), whose sum is σ = 62478080. Its totient is φ = 7350480.
The previous prime is 23064323. The next prime is 23064373. The reversal of 23064372 is 27346032.
23064372 is a `hidden beast` number, since 230 + 64 + 372 = 666.
It is a super-3 number, since 3×230643723 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23064373) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277843 + ... + 277925.
Almost surely, 223064372 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 23064372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31239040).
23064372 is an abundant number, since it is smaller than the sum of its proper divisors (39413708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23064372 is a wasteful number, since it uses less digits than its factorization.
23064372 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 23064372 is about 4802.5380789745. The cubic root of 23064372 is about 284.6517630337.
It can be divided in two parts, 23064 and 372, that added together give a triangular number (23436 = T216).
The spelling of 23064372 in words is "twenty-three million, sixty-four thousand, three hundred seventy-two".
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