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5608320 = 273523127
BaseRepresentation
bin10101011001001110000000
3101112221011120
4111121032000
52413431240
6320112240
765445534
oct25311600
911487146
105608320
113190683
121a65680
131214943
14a5dbc4
1575bad0
hex559380

5608320 has 128 divisors (see below), whose sum is σ = 18800640. Its totient is φ = 1419264.

The previous prime is 5608307. The next prime is 5608321. The reversal of 5608320 is 238065.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5608321) 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, 44097 + ... + 44223.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 25608320 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 5608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400320).

5608320 is an abundant number, since it is smaller than the sum of its proper divisors (13192320).

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

5608320 is a wasteful number, since it uses less digits than its factorization.

5608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5608320 is about 2368.1891816322. The cubic root of 5608320 is about 177.6687016081.

The spelling of 5608320 in words is "five million, six hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 127 128 138 160 184 192 230 240 254 276 320 345 368 381 384 460 480 508 552 635 640 690 736 762 920 960 1016 1104 1270 1380 1472 1524 1840 1905 1920 2032 2208 2540 2760 2921 2944 3048 3680 3810 4064 4416 5080 5520 5842 6096 7360 7620 8128 8763 8832 10160 11040 11684 12192 14605 14720 15240 16256 17526 20320 22080 23368 24384 29210 30480 35052 40640 43815 44160 46736 48768 58420 60960 70104 81280 87630 93472 116840 121920 140208 175260 186944 233680 243840 280416 350520 373888 467360 560832 701040 934720 1121664 1402080 1869440 2804160 5608320