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5664060 = 2233517617
BaseRepresentation
bin10101100110110100111100
3101122202122000
4111212310330
52422222220
6321222300
766100203
oct25466474
911582560
105664060
113219546
121a91990
13123411c
14a7623a
1576d390
hex566d3c

5664060 has 96 divisors (see below), whose sum is σ = 18688320. Its totient is φ = 1419264.

The previous prime is 5664053. The next prime is 5664067. The reversal of 5664060 is 604665.

5664060 is a `hidden beast` number, since 566 + 40 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5664053) and next prime (5664067).

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 (5664067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8872 + ... + 9488.

It is an arithmetic number, because the mean of its divisors is an integer number (194670).

Almost surely, 25664060 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 5664060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9344160).

5664060 is an abundant number, since it is smaller than the sum of its proper divisors (13024260).

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

5664060 is a wasteful number, since it uses less digits than its factorization.

5664060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5664060 is about 2379.9285703567. The cubic root of 5664060 is about 178.2553671667.

The spelling of 5664060 in words is "five million, six hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 617 765 918 1020 1234 1530 1836 1851 2295 2468 3060 3085 3702 4590 5553 6170 7404 9180 9255 10489 11106 12340 16659 18510 20978 22212 27765 31467 33318 37020 41956 52445 55530 62934 66636 83295 94401 104890 111060 125868 157335 166590 188802 209780 283203 314670 333180 377604 472005 566406 629340 944010 1132812 1416015 1888020 2832030 5664060