Base | Representation |
---|---|
bin | 110101011111… |
… | …001010100000 |
3 | 222101100120200 |
4 | 311133022200 |
5 | 12042140110 |
6 | 1220305200 |
7 | 230115240 |
oct | 65371240 |
9 | 28340520 |
10 | 14021280 |
11 | 7a07439 |
12 | 4842200 |
13 | 2b9c020 |
14 | 1c0db20 |
15 | 136e6c0 |
hex | d5f2a0 |
14021280 has 288 divisors, whose sum is σ = 59439744. Its totient is φ = 2930688.
The previous prime is 14021279. The next prime is 14021281. The reversal of 14021280 is 8212041.
14021280 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (14021279) and next prime (14021281).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
14021280 is strictly pandigital in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14021281) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130987 + ... + 131093.
It is an arithmetic number, because the mean of its divisors is an integer number (206388).
Almost surely, 214021280 is an apocalyptic number.
14021280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a pronic number, being equal to 3744×3745.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 14021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).
14021280 is an abundant number, since it is smaller than the sum of its proper divisors (45418464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14021280 is a wasteful number, since it uses less digits than its factorization.
14021280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 148 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 14021280 is about 3744.4999666177. The cubic root of 14021280 is about 241.1362784734.
The spelling of 14021280 in words is "fourteen million, twenty-one thousand, two hundred eighty".
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