Base | Representation |
---|---|
bin | 101100011100… |
… | …0110000000000 |
3 | 1121211211010110 |
4 | 1120320300000 |
5 | 21431113440 |
6 | 2151231320 |
7 | 402025203 |
oct | 130706000 |
9 | 47754113 |
10 | 23301120 |
11 | 12175527 |
12 | 7978540 |
13 | 4a9ab5b |
14 | 314793a |
15 | 20a4080 |
hex | 1638c00 |
23301120 has 176 divisors, whose sum is σ = 78408288. Its totient is φ = 5898240.
The previous prime is 23301107. The next prime is 23301133. The reversal of 23301120 is 2110332.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (23301107) and next prime (23301133).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 23301096 and 23301105.
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, 568300 + ... + 568340.
Almost surely, 223301120 is an apocalyptic number.
23301120 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 23301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204144).
23301120 is an abundant number, since it is smaller than the sum of its proper divisors (55107168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23301120 is a wasteful number, since it uses less digits than its factorization.
23301120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 23301120 is about 4827.1233669754. The cubic root of 23301120 is about 285.6224009295.
Multiplying 23301120 by its product of nonzero digits (36), we get a triangular number (838840320 = T40959).
Adding to 23301120 its reverse (2110332), we get a palindrome (25411452).
The spelling of 23301120 in words is "twenty-three million, three hundred one thousand, one hundred twenty".
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