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20796864 = 2631143229
BaseRepresentation
bin100111101010…
…1010111000000
31110010120221020
41033111113000
520310444424
62021425440
7341525154
oct117252700
943116836
1020796864
1110814aa0
126b6b280
13440204a
142a95064
151c5c079
hex13d55c0

20796864 has 112 divisors (see below), whose sum is σ = 61691520. Its totient is φ = 6128640.

The previous prime is 20796817. The next prime is 20796869. The reversal of 20796864 is 46869702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20796869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90702 + ... + 90930.

Almost surely, 220796864 is an apocalyptic number.

20796864 is a gapful number since it is divisible by the number (24) 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 20796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30845760).

20796864 is an abundant number, since it is smaller than the sum of its proper divisors (40894656).

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

20796864 is a wasteful number, since it uses less digits than its factorization.

20796864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 20796864 is about 4560.3578806931. The cubic root of 20796864 is about 274.9999515151. Note that the first 4 decimals are identical.

The spelling of 20796864 in words is "twenty million, seven hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 172 176 192 229 258 264 344 352 458 473 516 528 687 688 704 916 946 1032 1056 1374 1376 1419 1832 1892 2064 2112 2519 2748 2752 2838 3664 3784 4128 5038 5496 5676 7328 7557 7568 8256 9847 10076 10992 11352 14656 15114 15136 19694 20152 21984 22704 29541 30228 30272 39388 40304 43968 45408 59082 60456 78776 80608 90816 108317 118164 120912 157552 161216 216634 236328 241824 315104 324951 433268 472656 483648 630208 649902 866536 945312 1299804 1733072 1890624 2599608 3466144 5199216 6932288 10398432 20796864