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30982140 = 22325767367
BaseRepresentation
bin111011000101…
…1111111111100
32011022001111200
41312023333330
530412412030
63024015500
7524225640
oct166137774
964261450
1030982140
1116541382
12a461590
13655a037
144186c20
152abed60
hex1d8bffc

30982140 has 144 divisors (see below), whose sum is σ = 109304832. Its totient is φ = 6956928.

The previous prime is 30982123. The next prime is 30982163. The reversal of 30982140 is 4128903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84237 + ... + 84603.

Almost surely, 230982140 is an apocalyptic number.

30982140 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 30982140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54652416).

30982140 is an abundant number, since it is smaller than the sum of its proper divisors (78322692).

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

30982140 is a wasteful number, since it uses less digits than its factorization.

30982140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30982140 is about 5566.1602564066. The cubic root of 30982140 is about 314.0777256300.

The spelling of 30982140 in words is "thirty million, nine hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 367 402 420 469 603 630 670 734 804 938 1005 1101 1206 1260 1340 1407 1468 1835 1876 2010 2202 2345 2412 2569 2814 3015 3303 3670 4020 4221 4404 4690 5138 5505 5628 6030 6606 7035 7340 7707 8442 9380 10276 11010 12060 12845 13212 14070 15414 16515 16884 21105 22020 23121 24589 25690 28140 30828 33030 38535 42210 46242 49178 51380 66060 73767 77070 84420 92484 98356 115605 122945 147534 154140 172123 221301 231210 245890 295068 344246 368835 442602 462420 491780 516369 688492 737670 860615 885204 1032738 1106505 1475340 1549107 1721230 2065476 2213010 2581845 3098214 3442460 4426020 5163690 6196428 7745535 10327380 15491070 30982140