Base | Representation |
---|---|
bin | 100000001110001011000 |
3 | 1222122022220 |
4 | 10001301120 |
5 | 232241312 |
6 | 34344040 |
7 | 11655141 |
oct | 4016130 |
9 | 1878286 |
10 | 1055832 |
11 | 661298 |
12 | 42b020 |
13 | 2ac76b |
14 | 1d6ac8 |
15 | 15cc8c |
hex | 101c58 |
1055832 has 64 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 322560.
The previous prime is 1055827. The next prime is 1055839. The reversal of 1055832 is 2385501.
It is a super-2 number, since 2×10558322 = 2229562424448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a d-powerful number, because it can be written as 1 + 0 + 5 + 54 + 82 + 38 + 220 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1055839) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25732 + ... + 25772.
21055832 is an apocalyptic number.
1055832 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 1055832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).
1055832 is an abundant number, since it is smaller than the sum of its proper divisors (1816968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055832 is a wasteful number, since it uses less digits than its factorization.
1055832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 24.
The square root of 1055832 is about 1027.5368606527. The cubic root of 1055832 is about 101.8274668790.
The spelling of 1055832 in words is "one million, fifty-five thousand, eight hundred thirty-two".
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