Search a number
-
+
5784240 = 2435711313
BaseRepresentation
bin10110000100001010110000
3101212212111010
4112010022300
52440043430
6323550520
7100110450
oct26041260
911785433
105784240
1132a0870
121b2b440
131276a37
14aa7d60
15793cb0
hex5842b0

5784240 has 160 divisors (see below), whose sum is σ = 22427136. Its totient is φ = 1198080.

The previous prime is 5784223. The next prime is 5784257. The reversal of 5784240 is 424875.

It is an interprime number because it is at equal distance from previous prime (5784223) and next prime (5784257).

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 = 5784198 and 5784207.

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, 18324 + ... + 18636.

Almost surely, 25784240 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 5784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213568).

5784240 is an abundant number, since it is smaller than the sum of its proper divisors (16642896).

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

5784240 is a wasteful number, since it uses less digits than its factorization.

5784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5784240 is about 2405.0446981293. The cubic root of 5784240 is about 179.5072945466.

The spelling of 5784240 in words is "five million, seven hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 313 330 336 385 420 440 462 528 560 616 626 660 770 840 880 924 939 1155 1232 1252 1320 1540 1565 1680 1848 1878 2191 2310 2504 2640 3080 3130 3443 3696 3756 4382 4620 4695 5008 6160 6260 6573 6886 7512 8764 9240 9390 10329 10955 12520 13146 13772 15024 17215 17528 18480 18780 20658 21910 24101 25040 26292 27544 32865 34430 35056 37560 41316 43820 48202 51645 52584 55088 65730 68860 72303 75120 82632 87640 96404 103290 105168 120505 131460 137720 144606 165264 175280 192808 206580 241010 262920 275440 289212 361515 385616 413160 482020 525840 578424 723030 826320 964040 1156848 1446060 1928080 2892120 5784240