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56002320 = 24335112357
BaseRepresentation
bin1101010110100…
…0011100010000
310220101012202000
43111220130100
5103314033240
65320154000
71250004033
oct325503420
9126335660
1056002320
1129680410
1216908900
13b7aa48a
14761b01a
154db3430
hex3568710

56002320 has 160 divisors (see below), whose sum is σ = 210522240. Its totient is φ = 13570560.

The previous prime is 56002319. The next prime is 56002339. The reversal of 56002320 is 2320065.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56002293 and 56002302.

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, 22582 + ... + 24938.

It is an arithmetic number, because the mean of its divisors is an integer number (1315764).

Almost surely, 256002320 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 56002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105261120).

56002320 is an abundant number, since it is smaller than the sum of its proper divisors (154519920).

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

56002320 is a wasteful number, since it uses less digits than its factorization.

56002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 56002320 is about 7483.4697834627. The cubic root of 56002320 is about 382.5915198153.

Adding to 56002320 its reverse (2320065), we get a palindrome (58322385).

The spelling of 56002320 in words is "fifty-six million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2357 2376 2640 2970 3960 4714 4752 5940 7071 7920 9428 11785 11880 14142 18856 21213 23570 23760 25927 28284 35355 37712 42426 47140 51854 56568 63639 70710 77781 84852 94280 103708 106065 113136 127278 129635 141420 155562 169704 188560 207416 212130 233343 254556 259270 282840 311124 318195 339408 388905 414832 424260 466686 509112 518540 565680 622248 636390 700029 777810 848520 933372 1018224 1037080 1166715 1244496 1272780 1400058 1555620 1697040 1866744 2074160 2333430 2545560 2800116 3111240 3500145 3733488 4666860 5091120 5600232 6222480 7000290 9333720 11200464 14000580 18667440 28001160 56002320