Search a number
-
+
1028664 = 2332713157
BaseRepresentation
bin11111011001000111000
31221021001200
43323020320
5230404124
634014200
711513010
oct3731070
91837050
101028664
1164293a
12417360
132a02a0
141cac40
15154bc9
hexfb238

1028664 has 96 divisors (see below), whose sum is σ = 3450720. Its totient is φ = 269568.

The previous prime is 1028663. The next prime is 1028669. The reversal of 1028664 is 4668201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6474 + ... + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (35945).

21028664 is an apocalyptic number.

1028664 is a gapful number since it is divisible by the number (14) 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 1028664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725360).

1028664 is an abundant number, since it is smaller than the sum of its proper divisors (2422056).

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

1028664 is a wasteful number, since it uses less digits than its factorization.

1028664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1028664 is about 1014.2307429772. The cubic root of 1028664 is about 100.9464801571.

The spelling of 1028664 in words is "one million, twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 157 168 182 234 252 273 312 314 364 468 471 504 546 628 728 819 936 942 1092 1099 1256 1413 1638 1884 2041 2184 2198 2826 3276 3297 3768 4082 4396 5652 6123 6552 6594 8164 8792 9891 11304 12246 13188 14287 16328 18369 19782 24492 26376 28574 36738 39564 42861 48984 57148 73476 79128 85722 114296 128583 146952 171444 257166 342888 514332 1028664