Base | Representation |
---|---|
bin | 111101111111… |
… | …000010000000 |
3 | 1010120112101100 |
4 | 331333002000 |
5 | 13124431320 |
6 | 1340134400 |
7 | 255054030 |
oct | 75770200 |
9 | 33515340 |
10 | 16248960 |
11 | 91990a2 |
12 | 5537400 |
13 | 349bc90 |
14 | 222d8c0 |
15 | 165e790 |
hex | f7f080 |
16248960 has 384 divisors, whose sum is σ = 71285760. Its totient is φ = 3317760.
The previous prime is 16248949. The next prime is 16248977. The reversal of 16248960 is 6984261.
16248960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 40312-1.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524145 + ... + 524175.
It is an arithmetic number, because the mean of its divisors is an integer number (185640).
Almost surely, 216248960 is an apocalyptic number.
16248960 is a gapful number since it is divisible by the number (10) 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 16248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642880).
16248960 is an abundant number, since it is smaller than the sum of its proper divisors (55036800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16248960 is a wasteful number, since it uses less digits than its factorization.
16248960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 61 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 16248960 is about 4030.9998759613. Note that the first 3 decimals coincide. The cubic root of 16248960 is about 253.2844473229.
The spelling of 16248960 in words is "sixteen million, two hundred forty-eight thousand, nine hundred sixty".
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