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30986520 = 233523103109
BaseRepresentation
bin111011000110…
…1000100011000
32011022021111220
41312031010120
530413032040
63024052040
7524244465
oct166150430
964267456
1030986520
11165446a4
12a464020
13655c026
14418866c
152ac12d0
hex1d8d118

30986520 has 128 divisors (see below), whose sum is σ = 98841600. Its totient is φ = 7755264.

The previous prime is 30986509. The next prime is 30986533. The reversal of 30986520 is 2568903.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284226 + ... + 284334.

It is an arithmetic number, because the mean of its divisors is an integer number (772200).

Almost surely, 230986520 is an apocalyptic number.

30986520 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 30986520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49420800).

30986520 is an abundant number, since it is smaller than the sum of its proper divisors (67855080).

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

30986520 is a wasteful number, since it uses less digits than its factorization.

30986520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 30986520 is about 5566.5536914684. The cubic root of 30986520 is about 314.0925255074.

The spelling of 30986520 in words is "thirty million, nine hundred eighty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 103 109 115 120 138 184 206 218 230 276 309 327 345 412 436 460 515 545 552 618 654 690 824 872 920 1030 1090 1236 1308 1380 1545 1635 2060 2180 2369 2472 2507 2616 2760 3090 3270 4120 4360 4738 5014 6180 6540 7107 7521 9476 10028 11227 11845 12360 12535 13080 14214 15042 18952 20056 22454 23690 25070 28428 30084 33681 35535 37605 44908 47380 50140 56135 56856 60168 67362 71070 75210 89816 94760 100280 112270 134724 142140 150420 168405 224540 258221 269448 284280 300840 336810 449080 516442 673620 774663 1032884 1291105 1347240 1549326 2065768 2582210 3098652 3873315 5164420 6197304 7746630 10328840 15493260 30986520