Base | Representation |
---|---|
bin | 101100101010… |
… | …1001101010000 |
3 | 1122001202000111 |
4 | 1121111031100 |
5 | 21443331210 |
6 | 2153531104 |
7 | 403022056 |
oct | 131251520 |
9 | 48052014 |
10 | 23417680 |
11 | 12245060 |
12 | 7a13a94 |
13 | 4b0bc20 |
14 | 31781d6 |
15 | 20c888a |
hex | 1655350 |
23417680 has 160 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 7434240.
The previous prime is 23417677. The next prime is 23417711. The reversal of 23417680 is 8671432.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263076 + ... + 263164.
It is an arithmetic number, because the mean of its divisors is an integer number (421848).
Almost surely, 223417680 is an apocalyptic number.
23417680 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 23417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).
23417680 is an abundant number, since it is smaller than the sum of its proper divisors (44078000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23417680 is a wasteful number, since it uses less digits than its factorization.
23417680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149 (or 143 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 31.
The square root of 23417680 is about 4839.1817490150. The cubic root of 23417680 is about 286.0978686036.
It can be divided in two parts, 234176 and 80, that added together give a 4-th power (234256 = 224).
The spelling of 23417680 in words is "twenty-three million, four hundred seventeen thousand, six hundred eighty".
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