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5661360 = 243352621
BaseRepresentation
bin10101100110001010110000
3101122121221000
4111212022300
52422130420
6321202000
766056265
oct25461260
911577830
105661360
113217511
121a90300
131232b23
14a7526c
1576c690
hex5662b0

5661360 has 80 divisors (see below), whose sum is σ = 19507680. Its totient is φ = 1509120.

The previous prime is 5661343. The next prime is 5661367. The reversal of 5661360 is 631665.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5661367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850 + ... + 3470.

It is an arithmetic number, because the mean of its divisors is an integer number (243846).

Almost surely, 25661360 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 5661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753840).

5661360 is an abundant number, since it is smaller than the sum of its proper divisors (13846320).

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

5661360 is a wasteful number, since it uses less digits than its factorization.

5661360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5661360 is about 2379.3612588256. The cubic root of 5661360 is about 178.2270384892.

It can be divided in two parts, 56 and 61360, that added together give a palindrome (61416).

The spelling of 5661360 in words is "five million, six hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2621 5242 7863 10484 13105 15726 20968 23589 26210 31452 39315 41936 47178 52420 62904 70767 78630 94356 104840 117945 125808 141534 157260 188712 209680 235890 283068 314520 353835 377424 471780 566136 629040 707670 943560 1132272 1415340 1887120 2830680 5661360