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5704560 = 2433519139
BaseRepresentation
bin10101110000101101110000
3101201211012000
4111300231300
52430021220
6322134000
766326241
oct25605560
911654160
105704560
113246a14
121ab1300
1312496a4
14a86cc8
1577a390
hex570b70

5704560 has 160 divisors (see below), whose sum is σ = 20832000. Its totient is φ = 1430784.

The previous prime is 5704547. The next prime is 5704583. The reversal of 5704560 is 654075.

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

It is a congruent number.

It is an unprimeable number.

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, 40971 + ... + 41109.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 25704560 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 5704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416000).

5704560 is an abundant number, since it is smaller than the sum of its proper divisors (15127440).

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

5704560 is a wasteful number, since it uses less digits than its factorization.

5704560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5704560 is about 2388.4220732525. The cubic root of 5704560 is about 178.6792211668.

The spelling of 5704560 in words is "five million, seven hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 139 144 152 171 180 190 216 228 240 270 278 285 304 342 360 380 417 432 456 513 540 556 570 684 695 720 760 834 855 912 1026 1080 1112 1140 1251 1368 1390 1520 1668 1710 2052 2085 2160 2224 2280 2502 2565 2641 2736 2780 3336 3420 3753 4104 4170 4560 5004 5130 5282 5560 6255 6672 6840 7506 7923 8208 8340 10008 10260 10564 11120 12510 13205 13680 15012 15846 16680 18765 20016 20520 21128 23769 25020 26410 30024 31692 33360 37530 39615 41040 42256 47538 50040 52820 60048 63384 71307 75060 79230 95076 100080 105640 118845 126768 142614 150120 158460 190152 211280 237690 285228 300240 316920 356535 380304 475380 570456 633840 713070 950760 1140912 1426140 1901520 2852280 5704560