Base | Representation |
---|---|
bin | 1110101010001… |
… | …01001111000000 |
3 | 22120101100222110 |
4 | 13111011033000 |
5 | 222434420401 |
6 | 20111335320 |
7 | 3022126206 |
oct | 725051700 |
9 | 276340873 |
10 | 122966976 |
11 | 63458a00 |
12 | 35221540 |
13 | 1c625532 |
14 | 1248d076 |
15 | abde9d6 |
hex | 75453c0 |
122966976 has 168 divisors, whose sum is σ = 367548160. Its totient is φ = 36241920.
The previous prime is 122966969. The next prime is 122966981. The reversal of 122966976 is 679669221.
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
Its product of digits (489888) is a multiple of the sum of its prime divisors (162).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556505 + ... + 1556583.
Almost surely, 2122966976 is an apocalyptic number.
122966976 is a gapful number since it is divisible by the number (16) 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 122966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183774080).
122966976 is an abundant number, since it is smaller than the sum of its proper divisors (244581184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122966976 is a wasteful number, since it uses less digits than its factorization.
122966976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 183 (or 162 counting only the distinct ones).
The product of its digits is 489888, while the sum is 48.
The square root of 122966976 is about 11089.0475695616. The cubic root of 122966976 is about 497.2744713156.
The spelling of 122966976 in words is "one hundred twenty-two million, nine hundred sixty-six thousand, nine hundred seventy-six".
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