Search a number
-
+
1064628 = 223229573
BaseRepresentation
bin100000011111010110100
32000002101200
410003322310
5233032003
634452500
712022605
oct4037264
92002350
101064628
11667964
12434130
132b3776
141d9dac
151606a3
hex103eb4

1064628 has 18 divisors (see below), whose sum is σ = 2691234. Its totient is φ = 354864.

The previous prime is 1064593. The next prime is 1064629. The reversal of 1064628 is 8264601.

1064628 is a `hidden beast` number, since 10 + 646 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 338724 = 852^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10646282 = 2266865556768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14751 + ... + 14822.

It is an arithmetic number, because the mean of its divisors is an integer number (149513).

21064628 is an apocalyptic number.

1064628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1064628 is an abundant number, since it is smaller than the sum of its proper divisors (1626606).

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

1064628 is a wasteful number, since it uses less digits than its factorization.

1064628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29583 (or 29578 counting only the distinct ones).

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

The square root of 1064628 is about 1031.8081216971. The cubic root of 1064628 is about 102.1094557426.

Subtracting from 1064628 its sum of digits (27), we obtain a palindrome (1064601).

The spelling of 1064628 in words is "one million, sixty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 29573 59146 88719 118292 177438 266157 354876 532314 1064628