Base | Representation |
---|---|
bin | 1110100110000… |
… | …00110000110100 |
3 | 22112100210200000 |
4 | 13103000300310 |
5 | 222320034442 |
6 | 20051551300 |
7 | 3014406240 |
oct | 723006064 |
9 | 275323600 |
10 | 122424372 |
11 | 63118274 |
12 | 34bbb530 |
13 | 1c495575 |
14 | 1238b420 |
15 | ab33d4c |
hex | 74c0c34 |
122424372 has 144 divisors (see below), whose sum is σ = 386480640. Its totient is φ = 33102432.
The previous prime is 122424287. The next prime is 122424373. The reversal of 122424372 is 273424221.
122424372 is a `hidden beast` number, since 1 + 224 + 2 + 437 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122424373) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128803 + ... + 129749.
Almost surely, 2122424372 is an apocalyptic number.
122424372 is a gapful number since it is divisible by the number (12) 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 122424372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193240320).
122424372 is an abundant number, since it is smaller than the sum of its proper divisors (264056268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122424372 is a wasteful number, since it uses less digits than its factorization.
122424372 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 992 (or 978 counting only the distinct ones).
The product of its digits is 5376, while the sum is 27.
The square root of 122424372 is about 11064.5547583262. The cubic root of 122424372 is about 496.5419685045.
Adding to 122424372 its reverse (273424221), we get a palindrome (395848593).
The spelling of 122424372 in words is "one hundred twenty-two million, four hundred twenty-four thousand, three hundred seventy-two".
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