Base | Representation |
---|---|
bin | 110110111010… |
… | …100100100000 |
3 | 1000002101011100 |
4 | 312322210200 |
5 | 12141130210 |
6 | 1232314400 |
7 | 233234625 |
oct | 66724440 |
9 | 30071140 |
10 | 14395680 |
11 | 8142762 |
12 | 49a2a00 |
13 | 2ca0570 |
14 | 1caa34c |
15 | 13e55c0 |
hex | dba920 |
14395680 has 144 divisors (see below), whose sum is σ = 52972920. Its totient is φ = 3538944.
The previous prime is 14395663. The next prime is 14395681. The reversal of 14395680 is 8659341.
It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 6170256 = 2868^2 + 2484^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (14395681) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 18336 + ... + 19104.
Almost surely, 214395680 is an apocalyptic number.
14395680 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 14395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486460).
14395680 is an abundant number, since it is smaller than the sum of its proper divisors (38577240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14395680 is a wasteful number, since it uses less digits than its factorization.
14395680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 803 (or 792 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 14395680 is about 3794.1639395261. The cubic root of 14395680 is about 243.2637485817.
The spelling of 14395680 in words is "fourteen million, three hundred ninety-five thousand, six hundred eighty".
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