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5683440 = 2435717199
BaseRepresentation
bin10101101011100011110000
3101200202012210
4111223203300
52423332230
6321452120
766210540
oct25534360
911622183
105683440
113232064
121aa1040
13123cba9
14a7d320
15773eb0
hex56b8f0

5683440 has 160 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 1216512.

The previous prime is 5683427. The next prime is 5683453. The reversal of 5683440 is 443865.

5683440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5683427) and next prime (5683453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5683398 and 5683407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28461 + ... + 28659.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 25683440 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 5683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

5683440 is an abundant number, since it is smaller than the sum of its proper divisors (15743760).

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

5683440 is a wasteful number, since it uses less digits than its factorization.

5683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5683440 is about 2383.9966442929. The cubic root of 5683440 is about 178.4584403712.

The spelling of 5683440 in words is "five million, six hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 199 204 210 238 240 255 272 280 336 340 357 398 408 420 476 510 560 595 597 680 714 796 816 840 952 995 1020 1190 1194 1360 1393 1428 1592 1680 1785 1904 1990 2040 2380 2388 2786 2856 2985 3184 3383 3570 3980 4080 4179 4760 4776 5572 5712 5970 6766 6965 7140 7960 8358 9520 9552 10149 11144 11940 13532 13930 14280 15920 16716 16915 20298 20895 22288 23681 23880 27064 27860 28560 33432 33830 40596 41790 47362 47760 50745 54128 55720 66864 67660 71043 81192 83580 94724 101490 111440 118405 135320 142086 162384 167160 189448 202980 236810 270640 284172 334320 355215 378896 405960 473620 568344 710430 811920 947240 1136688 1420860 1894480 2841720 5683440