Base | Representation |
---|---|
bin | 1110100011010… |
… | …00011110000000 |
3 | 22111200102120111 |
4 | 13101220132000 |
5 | 222222001340 |
6 | 20040121104 |
7 | 3011341663 |
oct | 721503600 |
9 | 274612514 |
10 | 122062720 |
11 | 629a058a |
12 | 34a66194 |
13 | 1c399a80 |
14 | 122d56da |
15 | aab1aea |
hex | 7468780 |
122062720 has 128 divisors (see below), whose sum is σ = 333123840. Its totient is φ = 42369024.
The previous prime is 122062693. The next prime is 122062723. The reversal of 122062720 is 27260221.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1220627202 = 29798615227596800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 122062691 and 122062700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122062723) 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 15 ways as a sum of consecutive naturals, for example, 141009 + ... + 141871.
It is an arithmetic number, because the mean of its divisors is an integer number (2602530).
Almost surely, 2122062720 is an apocalyptic number.
122062720 is a gapful number since it is divisible by the number (10) 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 122062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).
122062720 is an abundant number, since it is smaller than the sum of its proper divisors (211061120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122062720 is a wasteful number, since it uses less digits than its factorization.
122062720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 912 (or 900 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 22.
The square root of 122062720 is about 11048.1998533698. The cubic root of 122062720 is about 496.0525438612.
The spelling of 122062720 in words is "one hundred twenty-two million, sixty-two thousand, seven hundred twenty".
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