Base | Representation |
---|---|
bin | 1110100111101… |
… | …10000001100100 |
3 | 22112202212221000 |
4 | 13103312001210 |
5 | 222344030112 |
6 | 20100353300 |
7 | 3016305255 |
oct | 723660144 |
9 | 275685830 |
10 | 122642532 |
11 | 63257171 |
12 | 350a5830 |
13 | 1c54095c |
14 | 12406b2c |
15 | ab787dc |
hex | 74f6064 |
122642532 has 96 divisors (see below), whose sum is σ = 335865600. Its totient is φ = 38624256.
The previous prime is 122642501. The next prime is 122642551. The reversal of 122642532 is 235246221.
It is a happy number.
122642532 is a `hidden beast` number, since 12 + 2 + 642 + 5 + 3 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 122642496 and 122642505.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240694 + ... + 241202.
It is an arithmetic number, because the mean of its divisors is an integer number (3498600).
Almost surely, 2122642532 is an apocalyptic number.
122642532 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 122642532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167932800).
122642532 is an abundant number, since it is smaller than the sum of its proper divisors (213223068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122642532 is a wasteful number, since it uses less digits than its factorization.
122642532 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 642 (or 634 counting only the distinct ones).
The product of its digits is 5760, while the sum is 27.
The square root of 122642532 is about 11074.4088781298. The cubic root of 122642532 is about 496.8367390973.
Adding to 122642532 its reverse (235246221), we get a palindrome (357888753).
The spelling of 122642532 in words is "one hundred twenty-two million, six hundred forty-two thousand, five hundred thirty-two".
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