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5706360 = 23325112131
BaseRepresentation
bin10101110001001001111000
3101201220122200
4111301021320
52430100420
6322150200
766334422
oct25611170
911656580
105706360
113248300
121ab2360
13124a45a
14a87812
1577ab90
hex571278

5706360 has 144 divisors (see below), whose sum is σ = 20540520. Its totient is φ = 1372800.

The previous prime is 5706353. The next prime is 5706377. The reversal of 5706360 is 636075.

It is a zygodrome in base 7.

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 35 ways as a sum of consecutive naturals, for example, 43495 + ... + 43625.

Almost surely, 25706360 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 5706360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270260).

5706360 is an abundant number, since it is smaller than the sum of its proper divisors (14834160).

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

5706360 is a wasteful number, since it uses less digits than its factorization.

5706360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5706360 is about 2388.7988613527. The cubic root of 5706360 is about 178.6980124949.

The spelling of 5706360 in words is "five million, seven hundred six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 131 132 165 180 198 220 242 262 264 330 360 363 393 396 440 484 495 524 605 655 660 726 786 792 968 990 1048 1089 1179 1210 1310 1320 1441 1452 1572 1815 1965 1980 2178 2358 2420 2620 2882 2904 3144 3630 3930 3960 4323 4356 4716 4840 5240 5445 5764 5895 7205 7260 7860 8646 8712 9432 10890 11528 11790 12969 14410 14520 15720 15851 17292 21615 21780 23580 25938 28820 31702 34584 43230 43560 47160 47553 51876 57640 63404 64845 79255 86460 95106 103752 126808 129690 142659 158510 172920 190212 237765 259380 285318 317020 380424 475530 518760 570636 634040 713295 951060 1141272 1426590 1902120 2853180 5706360