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5643660 = 22351117503
BaseRepresentation
bin10101100001110110001100
3101121201122110
4111201312030
52421044120
6320544020
765653551
oct25416614
911551573
105643660
113205190
121a82010
131227a59
14a6ca28
157672e0
hex561d8c

5643660 has 96 divisors (see below), whose sum is σ = 18289152. Its totient is φ = 1285120.

The previous prime is 5643653. The next prime is 5643667. The reversal of 5643660 is 663465.

It is an interprime number because it is at equal distance from previous prime (5643653) and next prime (5643667).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5643667) 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 31 ways as a sum of consecutive naturals, for example, 10969 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 25643660 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 5643660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576).

5643660 is an abundant number, since it is smaller than the sum of its proper divisors (12645492).

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

5643660 is a wasteful number, since it uses less digits than its factorization.

5643660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5643660 is about 2375.6388614434. The cubic root of 5643660 is about 178.0411048445.

It can be divided in two parts, 564 and 3660, that added together give a palindrome (4224).

The spelling of 5643660 in words is "five million, six hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 503 510 561 660 748 935 1006 1020 1122 1509 1870 2012 2244 2515 2805 3018 3740 5030 5533 5610 6036 7545 8551 10060 11066 11220 15090 16599 17102 22132 25653 27665 30180 33198 34204 42755 51306 55330 66396 82995 85510 94061 102612 110660 128265 165990 171020 188122 256530 282183 331980 376244 470305 513060 564366 940610 1128732 1410915 1881220 2821830 5643660