Search a number
-
+
30982320 = 24325371163
BaseRepresentation
bin111011000110…
…0000010110000
32011022001202100
41312030002300
530412413240
63024020400
7524226315
oct166140260
964261670
1030982320
1116541526
12a461700
13655a145
144186d0c
152abee30
hex1d8c0b0

30982320 has 120 divisors (see below), whose sum is σ = 106952976. Its totient is φ = 8031744.

The previous prime is 30982309. The next prime is 30982333. The reversal of 30982320 is 2328903.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26059 + ... + 27221.

Almost surely, 230982320 is an apocalyptic number.

30982320 is a gapful number since it is divisible by the number (30) 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 30982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53476488).

30982320 is an abundant number, since it is smaller than the sum of its proper divisors (75970656).

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

30982320 is a wasteful number, since it uses less digits than its factorization.

30982320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30982320 is about 5566.1764255187. The cubic root of 30982320 is about 314.0783338716.

The spelling of 30982320 in words is "thirty million, nine hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1163 1332 1480 1665 1776 2220 2326 2664 2960 3330 3489 4440 4652 5328 5815 6660 6978 8880 9304 10467 11630 13320 13956 17445 18608 20934 23260 26640 27912 34890 41868 43031 46520 52335 55824 69780 83736 86062 93040 104670 129093 139560 167472 172124 209340 215155 258186 279120 344248 387279 418680 430310 516372 645465 688496 774558 837360 860620 1032744 1290930 1549116 1721240 1936395 2065488 2581860 3098232 3442480 3872790 5163720 6196464 7745580 10327440 15491160 30982320