Base | Representation |
---|---|
bin | 1110100111100… |
… | …00110001000000 |
3 | 22112201210101020 |
4 | 13103300301000 |
5 | 222342332432 |
6 | 20100105440 |
7 | 3016155414 |
oct | 723606100 |
9 | 275653336 |
10 | 122620992 |
11 | 63241a6a |
12 | 35095280 |
13 | 1c533c00 |
14 | 123dcd44 |
15 | ab7222c |
hex | 74f0c40 |
122620992 has 84 divisors (see below), whose sum is σ = 351403920. Its totient is φ = 37719552.
The previous prime is 122620991. The next prime is 122621033. The reversal of 122620992 is 299026221.
It is not an unprimeable number, because it can be changed into a prime (122620991) 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 11 ways as a sum of consecutive naturals, for example, 30559 + ... + 34337.
It is an arithmetic number, because the mean of its divisors is an integer number (4183380).
Almost surely, 2122620992 is an apocalyptic number.
122620992 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 122620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175701960).
122620992 is an abundant number, since it is smaller than the sum of its proper divisors (228782928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122620992 is a wasteful number, since it uses less digits than its factorization.
122620992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3820 (or 3797 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 33.
The square root of 122620992 is about 11073.4363230210. The cubic root of 122620992 is about 496.8076505210.
The spelling of 122620992 in words is "one hundred twenty-two million, six hundred twenty thousand, nine hundred ninety-two".
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