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5684040 = 2333519277
BaseRepresentation
bin10101101011101101001000
3101200210001000
4111223231020
52423342130
6321455000
766212355
oct25535510
911623030
105684040
11323255a
121aa1460
13124024b
14a7d62c
15774260
hex56bb48

5684040 has 128 divisors (see below), whose sum is σ = 20016000. Its totient is φ = 1430784.

The previous prime is 5684033. The next prime is 5684057. The reversal of 5684040 is 404865.

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

It is a junction number, because it is equal to n+sod(n) for n = 5683995 and 5684013.

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, 20382 + ... + 20658.

It is an arithmetic number, because the mean of its divisors is an integer number (156375).

Almost surely, 25684040 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 5684040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008000).

5684040 is an abundant number, since it is smaller than the sum of its proper divisors (14331960).

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

5684040 is a wasteful number, since it uses less digits than its factorization.

5684040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5684040 is about 2384.1224800752. The cubic root of 5684040 is about 178.4647200948.

The spelling of 5684040 in words is "five million, six hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 277 285 342 360 380 456 513 540 554 570 684 760 831 855 1026 1080 1108 1140 1368 1385 1662 1710 2052 2216 2280 2493 2565 2770 3324 3420 4104 4155 4986 5130 5263 5540 6648 6840 7479 8310 9972 10260 10526 11080 12465 14958 15789 16620 19944 20520 21052 24930 26315 29916 31578 33240 37395 42104 47367 49860 52630 59832 63156 74790 78945 94734 99720 105260 126312 142101 149580 157890 189468 210520 236835 284202 299160 315780 378936 473670 568404 631560 710505 947340 1136808 1421010 1894680 2842020 5684040