Base | Representation |
---|---|
bin | 1110100011000… |
… | …11110000101000 |
3 | 22111122110010010 |
4 | 13101203300220 |
5 | 222220342212 |
6 | 20035451520 |
7 | 3011231520 |
oct | 721436050 |
9 | 274573103 |
10 | 122043432 |
11 | 62988045 |
12 | 34a56ba0 |
13 | 1c391064 |
14 | 122cc680 |
15 | aaab03c |
hex | 7463c28 |
122043432 has 64 divisors (see below), whose sum is σ = 354441600. Its totient is φ = 34295040.
The previous prime is 122043421. The next prime is 122043437. The reversal of 122043432 is 234340221.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 122043399 and 122043408.
It is not an unprimeable number, because it can be changed into a prime (122043437) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4294 + ... + 16202.
It is an arithmetic number, because the mean of its divisors is an integer number (5538150).
Almost surely, 2122043432 is an apocalyptic number.
122043432 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 122043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177220800).
122043432 is an abundant number, since it is smaller than the sum of its proper divisors (232398168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122043432 is a wasteful number, since it uses less digits than its factorization.
122043432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11986 (or 11982 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 122043432 is about 11047.3269164989. The cubic root of 122043432 is about 496.0264142194.
Adding to 122043432 its reverse (234340221), we get a palindrome (356383653).
It can be divided in two parts, 12204 and 3432, that multiplied together give a triangular number (41884128 = T9152).
The spelling of 122043432 in words is "one hundred twenty-two million, forty-three thousand, four hundred thirty-two".
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