Base | Representation |
---|---|
bin | 101100100010… |
… | …1111011110000 |
3 | 1121221120012110 |
4 | 1121011323300 |
5 | 21434330440 |
6 | 2152325320 |
7 | 402341505 |
oct | 131057360 |
9 | 47846173 |
10 | 23355120 |
11 | 12202058 |
12 | 79a3840 |
13 | 4ab95c9 |
14 | 315d4ac |
15 | 20b5080 |
hex | 1645ef0 |
23355120 has 80 divisors (see below), whose sum is σ = 75566592. Its totient is φ = 5955840.
The previous prime is 23355107. The next prime is 23355133. The reversal of 23355120 is 2155332.
It is an interprime number because it is at equal distance from previous prime (23355107) and next prime (23355133).
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3405 + ... + 7635.
Almost surely, 223355120 is an apocalyptic number.
23355120 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 23355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37783296).
23355120 is an abundant number, since it is smaller than the sum of its proper divisors (52211472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23355120 is a wasteful number, since it uses less digits than its factorization.
23355120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4270 (or 4264 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 21.
The square root of 23355120 is about 4832.7135234773. The cubic root of 23355120 is about 285.8428725965.
The spelling of 23355120 in words is "twenty-three million, three hundred fifty-five thousand, one hundred twenty".
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