Search a number
-
+
4890240 = 27335283
BaseRepresentation
bin10010101001111010000000
3100012110011000
4102221322000
52222441430
6252452000
756365155
oct22517200
910173130
104890240
112840123
12177a000
131022b44
1491422c
15668e60
hex4a9e80

4890240 has 128 divisors (see below), whose sum is σ = 17380800. Its totient is φ = 1299456.

The previous prime is 4890229. The next prime is 4890247. The reversal of 4890240 is 420984.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (4890247) 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, 17139 + ... + 17421.

Almost surely, 24890240 is an apocalyptic number.

4890240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690400).

4890240 is an abundant number, since it is smaller than the sum of its proper divisors (12490560).

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

4890240 is a wasteful number, since it uses less digits than its factorization.

4890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4890240 is about 2211.3887039596. The cubic root of 4890240 is about 169.7370791605.

The spelling of 4890240 in words is "four million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 283 288 320 360 384 432 480 540 566 576 640 720 849 864 960 1080 1132 1152 1415 1440 1698 1728 1920 2160 2264 2547 2830 2880 3396 3456 4245 4320 4528 5094 5660 5760 6792 7641 8490 8640 9056 10188 11320 12735 13584 15282 16980 17280 18112 20376 22640 25470 27168 30564 33960 36224 38205 40752 45280 50940 54336 61128 67920 76410 81504 90560 101880 108672 122256 135840 152820 163008 181120 203760 244512 271680 305640 326016 407520 489024 543360 611280 815040 978048 1222560 1630080 2445120 4890240