Base | Representation |
---|---|
bin | 101100001001… |
… | …0111001100000 |
3 | 1121112221110020 |
4 | 1120102321200 |
5 | 21411133310 |
6 | 2144033440 |
7 | 400511166 |
oct | 130227140 |
9 | 47487406 |
10 | 23146080 |
11 | 12079aa1 |
12 | 7902880 |
13 | 4a45409 |
14 | 3107236 |
15 | 2073170 |
hex | 1612e60 |
23146080 has 48 divisors (see below), whose sum is σ = 72911664. Its totient is φ = 6172160.
The previous prime is 23146049. The next prime is 23146087. The reversal of 23146080 is 8064132.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 23146080.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23146087) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23631 + ... + 24590.
It is an arithmetic number, because the mean of its divisors is an integer number (1518993).
Almost surely, 223146080 is an apocalyptic number.
23146080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23146080 is an abundant number, since it is smaller than the sum of its proper divisors (49765584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23146080 is a wasteful number, since it uses less digits than its factorization.
23146080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48239 (or 48231 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 23146080 is about 4811.0373101858. The cubic root of 23146080 is about 284.9875032994.
It can be divided in two parts, 231460 and 80, that added together give a triangular number (231540 = T680).
The spelling of 23146080 in words is "twenty-three million, one hundred forty-six thousand, eighty".
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