Base | Representation |
---|---|
bin | 1110100011100… |
… | …10100011001000 |
3 | 22111202112012200 |
4 | 13101302203020 |
5 | 222224312013 |
6 | 20041040200 |
7 | 3011603235 |
oct | 721624310 |
9 | 274675180 |
10 | 122104008 |
11 | 62a19604 |
12 | 34a86060 |
13 | 1c3b27c0 |
14 | 1230678c |
15 | aabde73 |
hex | 74728c8 |
122104008 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 37319040.
The previous prime is 122104001. The next prime is 122104019. The reversal of 122104008 is 800401221.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (122104001) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178435 + ... + 179117.
It is an arithmetic number, because the mean of its divisors is an integer number (3734640).
Almost surely, 2122104008 is an apocalyptic number.
122104008 is a gapful number since it is divisible by the number (18) 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 122104008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).
122104008 is an abundant number, since it is smaller than the sum of its proper divisors (236421432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122104008 is a wasteful number, since it uses less digits than its factorization.
122104008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 899 (or 892 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 122104008 is about 11050.0682350834. The cubic root of 122104008 is about 496.1084678666.
Adding to 122104008 its reverse (800401221), we get a palindrome (922505229).
The spelling of 122104008 in words is "one hundred twenty-two million, one hundred four thousand, eight".
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