Base | Representation |
---|---|
bin | 1110100011111… |
… | …01001001100000 |
3 | 22111211201202200 |
4 | 13101331021200 |
5 | 222232204144 |
6 | 20042013200 |
7 | 3012143640 |
oct | 721751140 |
9 | 274751680 |
10 | 122147424 |
11 | 62a49193 |
12 | 34aa7200 |
13 | 1c3c94a9 |
14 | 12318520 |
15 | aacbc69 |
hex | 747d260 |
122147424 has 72 divisors (see below), whose sum is σ = 396985680. Its totient is φ = 34898688.
The previous prime is 122147387. The next prime is 122147453. The reversal of 122147424 is 424741221.
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
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 11 ways as a sum of consecutive naturals, for example, 28279 + ... + 32310.
It is an arithmetic number, because the mean of its divisors is an integer number (5513690).
Almost surely, 2122147424 is an apocalyptic number.
122147424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
122147424 is an abundant number, since it is smaller than the sum of its proper divisors (274838256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122147424 is a wasteful number, since it uses less digits than its factorization.
122147424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60612 (or 60601 counting only the distinct ones).
The product of its digits is 3584, while the sum is 27.
The square root of 122147424 is about 11052.0325732419. The cubic root of 122147424 is about 496.1672606211.
Adding to 122147424 its reverse (424741221), we get a palindrome (546888645).
The spelling of 122147424 in words is "one hundred twenty-two million, one hundred forty-seven thousand, four hundred twenty-four".
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