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1064664 = 23343153
BaseRepresentation
bin100000011111011011000
32000002110000
410003323120
5233032124
634453000
712022656
oct4037330
92002400
101064664
11667997
12434160
132b37a3
141d9dd6
151606c9
hex103ed8

1064664 has 80 divisors (see below), whose sum is σ = 3136320. Its totient is φ = 336960.

The previous prime is 1064653. The next prime is 1064669. The reversal of 1064664 is 4664601.

1064664 is a `hidden beast` number, since 10 + 646 + 6 + 4 = 666.

It is a super-2 number, since 2×10646642 = 2267018865792, 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 (1064669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20062 + ... + 20114.

It is an arithmetic number, because the mean of its divisors is an integer number (39204).

21064664 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 1064664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568160).

1064664 is an abundant number, since it is smaller than the sum of its proper divisors (2071656).

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

1064664 is a wasteful number, since it uses less digits than its factorization.

1064664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1064664 is about 1031.8255666536. The cubic root of 1064664 is about 102.1106066607.

Subtracting from 1064664 its product of nonzero digits (3456), we obtain a cube (1061208 = 1023).

It can be divided in two parts, 1064 and 664, that added together give a cube (1728 = 123).

The spelling of 1064664 in words is "one million, sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 81 93 106 108 124 159 162 186 212 216 248 279 318 324 372 424 477 558 636 648 744 837 954 1116 1272 1431 1643 1674 1908 2232 2511 2862 3286 3348 3816 4293 4929 5022 5724 6572 6696 8586 9858 10044 11448 13144 14787 17172 19716 20088 29574 34344 39432 44361 59148 88722 118296 133083 177444 266166 354888 532332 1064664