Base | Representation |
---|---|
bin | 1110100101110… |
… | …11011001100000 |
3 | 22112022200112020 |
4 | 13102323121200 |
5 | 222313334100 |
6 | 20051301440 |
7 | 3014255211 |
oct | 722733140 |
9 | 275280466 |
10 | 122402400 |
11 | 6310280a |
12 | 34baa880 |
13 | 1c488573 |
14 | 12383408 |
15 | ab2c5a0 |
hex | 74bb660 |
122402400 has 72 divisors (see below), whose sum is σ = 398427624. Its totient is φ = 32640000.
The previous prime is 122402377. The next prime is 122402407. The reversal of 122402400 is 4204221.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 122402400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122402407) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23101 + ... + 27900.
It is an arithmetic number, because the mean of its divisors is an integer number (5533717).
Almost surely, 2122402400 is an apocalyptic number.
122402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122402400 is an abundant number, since it is smaller than the sum of its proper divisors (276025224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122402400 is a wasteful number, since it uses less digits than its factorization.
122402400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 51024 (or 51011 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 15.
The square root of 122402400 is about 11063.5618134487. The cubic root of 122402400 is about 496.5122612582.
Adding to 122402400 its reverse (4204221), we get a palindrome (126606621).
The spelling of 122402400 in words is "one hundred twenty-two million, four hundred two thousand, four hundred".
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