Base | Representation |
---|---|
bin | 1110100101111… |
… | …10000110000000 |
3 | 22112100020200010 |
4 | 13102332012000 |
5 | 222314212230 |
6 | 20051424520 |
7 | 3014332332 |
oct | 722760600 |
9 | 275306603 |
10 | 122413440 |
11 | 63110036 |
12 | 34bb5140 |
13 | 1c4905b6 |
14 | 12387452 |
15 | ab309b0 |
hex | 74be180 |
122413440 has 128 divisors (see below), whose sum is σ = 394617600. Its totient is φ = 32274432.
The previous prime is 122413439. The next prime is 122413471. The reversal of 122413440 is 44314221.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197451 + ... + 198069.
It is an arithmetic number, because the mean of its divisors is an integer number (3082950).
Almost surely, 2122413440 is an apocalyptic number.
122413440 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 122413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).
122413440 is an abundant number, since it is smaller than the sum of its proper divisors (272204160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122413440 is a wasteful number, since it uses less digits than its factorization.
122413440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 744 (or 732 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 122413440 is about 11064.0607373604. The cubic root of 122413440 is about 496.5271883364.
Adding to 122413440 its reverse (44314221), we get a palindrome (166727661).
The spelling of 122413440 in words is "one hundred twenty-two million, four hundred thirteen thousand, four hundred forty".
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