Search a number
-
+
182028 = 223711197
BaseRepresentation
bin101100011100001100
3100020200210
4230130030
521311103
63522420
71355460
oct543414
9306623
10182028
11114840
1289410
1364b12
144a4a0
1538e03
hex2c70c

182028 has 48 divisors (see below), whose sum is σ = 532224. Its totient is φ = 47040.

The previous prime is 182027. The next prime is 182029. The reversal of 182028 is 820281.

It is an interprime number because it is at equal distance from previous prime (182027) and next prime (182029).

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 = 181995 and 182013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 182028.

It is not an unprimeable number, because it can be changed into a prime (182027) 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, 826 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2182028 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 182028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

182028 is an abundant number, since it is smaller than the sum of its proper divisors (350196).

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

182028 is a wasteful number, since it uses less digits than its factorization.

182028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 182028 is about 426.6473953981. The cubic root of 182028 is about 56.6734171120.

182028 divided by its sum of digits (21) gives a palindrome (8668).

The spelling of 182028 in words is "one hundred eighty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 197 231 308 394 462 591 788 924 1182 1379 2167 2364 2758 4137 4334 5516 6501 8274 8668 13002 15169 16548 26004 30338 45507 60676 91014 182028