Search a number
-
+
2028204 = 2232531063
BaseRepresentation
bin111101111001010101100
310211001011200
413233022230
51004400304
6111245500
723145063
oct7571254
93731150
102028204
111165902
12819890
13560229
143ab1da
152a0e39
hex1ef2ac

2028204 has 36 divisors (see below), whose sum is σ = 5228496. Its totient is φ = 662688.

The previous prime is 2028203. The next prime is 2028217. The reversal of 2028204 is 4028202.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20282042 = 8227222931232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2028203) 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 11 ways as a sum of consecutive naturals, for example, 1377 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

22028204 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 2028204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248).

2028204 is an abundant number, since it is smaller than the sum of its proper divisors (3200292).

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

2028204 is a wasteful number, since it uses less digits than its factorization.

2028204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2028204 is about 1424.1502729698. The cubic root of 2028204 is about 126.5815895303.

It can be divided in two parts, 20 and 28204, that added together give a square (28224 = 1682).

The spelling of 2028204 in words is "two million, twenty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1063 1908 2126 3189 4252 6378 9567 12756 19134 38268 56339 112678 169017 225356 338034 507051 676068 1014102 2028204