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1826132 = 2273113
BaseRepresentation
bin110111101110101010100
310102202222112
412331311110
5431414012
6103050152
721344000
oct6756524
93382875
101826132
111038000
12740958
134bc269
14357700
15261122
hex1bdd54

1826132 has 48 divisors (see below), whose sum is σ = 4099200. Its totient is φ = 711480.

The previous prime is 1826129. The next prime is 1826137. The reversal of 1826132 is 2316281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a junction number, because it is equal to n+sod(n) for n = 1826098 and 1826107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166007 + ... + 166017.

It is an arithmetic number, because the mean of its divisors is an integer number (85400).

21826132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1826132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049600).

1826132 is an abundant number, since it is smaller than the sum of its proper divisors (2273068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1826132 is an equidigital number, since it uses as much as digits as its factorization.

1826132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 20 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 1826132 is about 1351.3445156584. The cubic root of 1826132 is about 122.2298810016.

The spelling of 1826132 in words is "one million, eight hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 343 484 539 686 847 1078 1331 1372 1694 2156 2662 3388 3773 5324 5929 7546 9317 11858 15092 18634 23716 37268 41503 65219 83006 130438 166012 260876 456533 913066 1826132