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182728 = 23713251
BaseRepresentation
bin101100100111001000
3100021122201
4230213020
521321403
63525544
71360510
oct544710
9307581
10182728
11115317
12898b4
1365230
144a840
153921d
hex2c9c8

182728 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 72000.

The previous prime is 182713. The next prime is 182747. The reversal of 182728 is 827281.

It can be divided in two parts, 182 and 728, that multiplied together give a square (132496 = 3642).

182728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 182696 and 182705.

It is an unprimeable number.

182728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2182728 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 182728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

182728 is an abundant number, since it is smaller than the sum of its proper divisors (240632).

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

182728 is a wasteful number, since it uses less digits than its factorization.

182728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 182728 is about 427.4669577874. The cubic root of 182728 is about 56.7459712381.

The spelling of 182728 in words is "one hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 251 364 502 728 1004 1757 2008 3263 3514 6526 7028 13052 14056 22841 26104 45682 91364 182728