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20335040 = 2651153109
BaseRepresentation
bin100110110010…
…0100111000000
31102021010102122
41031210213000
520201210130
62003503412
7334562555
oct115444700
942233378
1020335040
111052a020
126987b68
13429ca8b
1429b4a2c
151bba2e5
hex13649c0

20335040 has 112 divisors (see below), whose sum is σ = 54315360. Its totient is φ = 7188480.

The previous prime is 20335033. The next prime is 20335097. The reversal of 20335040 is 4053302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186506 + ... + 186614.

Almost surely, 220335040 is an apocalyptic number.

20335040 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 20335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27157680).

20335040 is an abundant number, since it is smaller than the sum of its proper divisors (33980320).

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

20335040 is a wasteful number, since it uses less digits than its factorization.

20335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 20335040 is about 4509.4389894975. The cubic root of 20335040 is about 272.9491065169.

Adding to 20335040 its reverse (4053302), we get a palindrome (24388342).

The spelling of 20335040 in words is "twenty million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 109 110 160 176 212 218 220 265 320 352 424 436 440 530 545 583 704 848 872 880 1060 1090 1166 1199 1696 1744 1760 2120 2180 2332 2398 2915 3392 3488 3520 4240 4360 4664 4796 5777 5830 5995 6976 8480 8720 9328 9592 11554 11660 11990 16960 17440 18656 19184 23108 23320 23980 28885 34880 37312 38368 46216 46640 47960 57770 63547 76736 92432 93280 95920 115540 127094 184864 186560 191840 231080 254188 317735 369728 383680 462160 508376 635470 924320 1016752 1270940 1848640 2033504 2541880 4067008 5083760 10167520 20335040