Base | Representation |
---|---|
bin | 1110100010111… |
… | …11000000000000 |
3 | 22111121110101001 |
4 | 13101133000000 |
5 | 222214231221 |
6 | 20035221344 |
7 | 3011120626 |
oct | 721370000 |
9 | 274543331 |
10 | 122023936 |
11 | 62974431 |
12 | 34a47854 |
13 | 1c385218 |
14 | 122c5516 |
15 | aaa5391 |
hex | 745f000 |
122023936 has 52 divisors (see below), whose sum is σ = 252151744. Its totient is φ = 59043840.
The previous prime is 122023933. The next prime is 122023939. The reversal of 122023936 is 639320221.
The cubic root of 122023936 is 496.
It is a perfect power (a cube), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (122023933) and next prime (122023939).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122023933) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3936241 + ... + 3936271.
It is an arithmetic number, because the mean of its divisors is an integer number (4849072).
Almost surely, 2122023936 is an apocalyptic number.
122023936 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 122023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126075872).
122023936 is an abundant number, since it is smaller than the sum of its proper divisors (130127808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122023936 is an frugal number, since it uses more digits than its factorization.
122023936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 117 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 28.
The square root of 122023936 is about 11046.4444958548. Note that the first 4 decimals coincide.
The spelling of 122023936 in words is "one hundred twenty-two million, twenty-three thousand, nine hundred thirty-six".
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