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20930336 = 257414353
BaseRepresentation
bin100111111010…
…1111100100000
31110101101000122
41033311330200
520324232321
62024335412
7342622250
oct117657440
943341018
1020930336
11108a62a9
127014568
13444aa1b
142acb960
151c868ab
hex13f5f20

20930336 has 96 divisors (see below), whose sum is σ = 50295168. Its totient is φ = 8386560.

The previous prime is 20930323. The next prime is 20930387. The reversal of 20930336 is 63303902.

It is a super-3 number, since 3×209303363 (a number of 23 digits) contains 333 as substring.

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, 394886 + ... + 394938.

It is an arithmetic number, because the mean of its divisors is an integer number (523908).

Almost surely, 220930336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147584).

20930336 is an abundant number, since it is smaller than the sum of its proper divisors (29364832).

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

20930336 is a wasteful number, since it uses less digits than its factorization.

20930336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 20930336 is about 4574.9684151915. The cubic root of 20930336 is about 275.5870039646.

The spelling of 20930336 in words is "twenty million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 43 53 56 82 86 106 112 164 172 212 224 287 301 328 344 371 424 574 602 656 688 742 848 1148 1204 1312 1376 1484 1696 1763 2173 2279 2296 2408 2968 3526 4346 4558 4592 4816 5936 7052 8692 9116 9184 9632 11872 12341 14104 15211 15953 17384 18232 24682 28208 30422 31906 34768 36464 49364 56416 60844 63812 69536 72928 93439 98728 121688 127624 186878 197456 243376 255248 373756 394912 486752 510496 654073 747512 1308146 1495024 2616292 2990048 5232584 10465168 20930336