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5769360 = 243352671
BaseRepresentation
bin10110000000100010010000
3101212010002000
4112000202100
52434104420
6323354000
7100016202
oct26004220
911763060
105769360
113290673
121b22900
13127002c
14aa2772
1578e690
hex580890

5769360 has 80 divisors (see below), whose sum is σ = 19879680. Its totient is φ = 1537920.

The previous prime is 5769359. The next prime is 5769367. The reversal of 5769360 is 639675.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (5769367) 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, 825 + ... + 3495.

It is an arithmetic number, because the mean of its divisors is an integer number (248496).

Almost surely, 25769360 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 5769360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939840).

5769360 is an abundant number, since it is smaller than the sum of its proper divisors (14110320).

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

5769360 is a wasteful number, since it uses less digits than its factorization.

5769360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5769360 is about 2401.9492084555. The cubic root of 5769360 is about 179.3532344183.

The spelling of 5769360 in words is "five million, seven hundred sixty-nine 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 2671 5342 8013 10684 13355 16026 21368 24039 26710 32052 40065 42736 48078 53420 64104 72117 80130 96156 106840 120195 128208 144234 160260 192312 213680 240390 288468 320520 360585 384624 480780 576936 641040 721170 961560 1153872 1442340 1923120 2884680 5769360