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6645564 = 22364353
BaseRepresentation
bin11001010110011100111100
3110111122000000
4121112130330
53200124224
6354234300
7110325552
oct31263474
913448000
106645564
113829a02
122285990
1314b8ab3
14c4dbd2
158b40c9
hex65673c

6645564 has 84 divisors (see below), whose sum is σ = 18178776. Its totient is φ = 2122848.

The previous prime is 6645557. The next prime is 6645571. The reversal of 6645564 is 4655466.

It is a happy number.

6645564 is a `hidden beast` number, since 6 + 645 + 5 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6645557) and next prime (6645571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 125362 + ... + 125414.

It is an arithmetic number, because the mean of its divisors is an integer number (216414).

Almost surely, 26645564 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 6645564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089388).

6645564 is an abundant number, since it is smaller than the sum of its proper divisors (11533212).

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

6645564 is a wasteful number, since it uses less digits than its factorization.

6645564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 6645564 is about 2577.8991446525. The cubic root of 6645564 is about 188.0084121783.

The spelling of 6645564 in words is "six million, six hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 53 54 81 86 106 108 129 159 162 172 212 243 258 318 324 387 477 486 516 636 729 774 954 972 1161 1431 1458 1548 1908 2279 2322 2862 2916 3483 4293 4558 4644 5724 6837 6966 8586 9116 10449 12879 13674 13932 17172 20511 20898 25758 27348 31347 38637 41022 41796 51516 61533 62694 77274 82044 123066 125388 154548 184599 246132 369198 553797 738396 1107594 1661391 2215188 3322782 6645564