Base | Representation |
---|---|
bin | 100101011110100000000 |
3 | 2022101112200 |
4 | 10223310000 |
5 | 303244112 |
6 | 42153200 |
7 | 13303161 |
oct | 4536400 |
9 | 2271480 |
10 | 1228032 |
11 | 769703 |
12 | 4b2800 |
13 | 33cc60 |
14 | 23d768 |
15 | 193cdc |
hex | 12bd00 |
1228032 has 108 divisors (see below), whose sum is σ = 3906084. Its totient is φ = 368640.
The previous prime is 1228021. The next prime is 1228091. The reversal of 1228032 is 2308221.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 1115136 = 336^2 + 1056^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 1227996 and 1228014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29932 + ... + 29972.
21228032 is an apocalyptic number.
1228032 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 1228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953042).
1228032 is an abundant number, since it is smaller than the sum of its proper divisors (2678052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1228032 is a wasteful number, since it uses less digits than its factorization.
1228032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1228032 is about 1108.1660525391. The cubic root of 1228032 is about 107.0869529310.
The spelling of 1228032 in words is "one million, two hundred twenty-eight thousand, thirty-two".
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