Search a number
-
+
1028646 = 23343443
BaseRepresentation
bin11111011001000100110
31221021001000
43323020212
5230404041
634014130
711512653
oct3731046
91837030
101028646
11642923
12417346
132a0288
141cac2a
15154bb6
hexfb226

1028646 has 32 divisors (see below), whose sum is σ = 2344320. Its totient is φ = 334152.

The previous prime is 1028617. The next prime is 1028647. The reversal of 1028646 is 6468201.

1028646 is a `hidden beast` number, since 10 + 2 + 8 + 646 = 666.

It is a super-2 number, since 2×10286462 = 2116225186632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028647) 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 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (73260).

21028646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172160).

1028646 is an abundant number, since it is smaller than the sum of its proper divisors (1315674).

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

1028646 is a wasteful number, since it uses less digits than its factorization.

1028646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

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

The square root of 1028646 is about 1014.2218692180. The cubic root of 1028646 is about 100.9458913522.

The spelling of 1028646 in words is "one million, twenty-eight thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 443 774 886 1161 1329 2322 2658 3987 7974 11961 19049 23922 38098 57147 114294 171441 342882 514323 1028646