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20320740 = 22335112311
BaseRepresentation
bin100110110000…
…1000111100100
31102020101211000
41031201013210
520200230430
62003313300
7334503066
oct115410744
942211730
1020320740
111051a300
12697b830
13429640b
1429ad736
151bb5e60
hex13611e4

20320740 has 144 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 4910400.

The previous prime is 20320739. The next prime is 20320757. The reversal of 20320740 is 4702302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 65185 + ... + 65495.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 220320740 is an apocalyptic number.

20320740 is a gapful number since it is divisible by the number (20) 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 20320740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

20320740 is an abundant number, since it is smaller than the sum of its proper divisors (49392540).

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

20320740 is a wasteful number, since it uses less digits than its factorization.

20320740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20320740 is about 4507.8531475637. The cubic root of 20320740 is about 272.8851104538.

The spelling of 20320740 in words is "twenty million, three hundred twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 311 330 363 396 484 495 540 594 605 622 660 726 933 990 1089 1188 1210 1244 1452 1485 1555 1815 1866 1980 2178 2420 2799 2970 3110 3267 3421 3630 3732 4356 4665 5445 5598 5940 6220 6534 6842 7260 8397 9330 10263 10890 11196 13068 13684 13995 16335 16794 17105 18660 20526 21780 27990 30789 32670 33588 34210 37631 41052 41985 51315 55980 61578 65340 68420 75262 83970 92367 102630 112893 123156 150524 153945 167940 184734 188155 205260 225786 307890 338679 369468 376310 451572 461835 564465 615780 677358 752620 923670 1016037 1128930 1354716 1693395 1847340 2032074 2257860 3386790 4064148 5080185 6773580 10160370 20320740