Base | Representation |
---|---|
bin | 1110100010110… |
… | …10011111010100 |
3 | 22111120112000202 |
4 | 13101122133110 |
5 | 222213133320 |
6 | 20035000032 |
7 | 3011013023 |
oct | 721323724 |
9 | 274515022 |
10 | 122005460 |
11 | 62961565 |
12 | 34a39018 |
13 | 1c3799a5 |
14 | 122bc8ba |
15 | aa9eb75 |
hex | 745a7d4 |
122005460 has 48 divisors (see below), whose sum is σ = 278423040. Its totient is φ = 44737920.
The previous prime is 122005427. The next prime is 122005469. The reversal of 122005460 is 64500221.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122005469) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6602 + ... + 16958.
It is an arithmetic number, because the mean of its divisors is an integer number (5800480).
Almost surely, 2122005460 is an apocalyptic number.
122005460 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 122005460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139211520).
122005460 is an abundant number, since it is smaller than the sum of its proper divisors (156417580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122005460 is a wasteful number, since it uses less digits than its factorization.
122005460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10416 (or 10414 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 122005460 is about 11045.6081770086. The cubic root of 122005460 is about 495.9749651343.
Adding to 122005460 its reverse (64500221), we get a palindrome (186505681).
The spelling of 122005460 in words is "one hundred twenty-two million, five thousand, four hundred sixty".
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