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20273664 = 29367197
BaseRepresentation
bin100110101010…
…1101000000000
31102011000020110
41031111220000
520142224124
62002311320
7334215615
oct115255000
942130213
1020273664
11104979a4
126958540
13427ab68
14299a50c
151ba7029
hex1355a00

20273664 has 80 divisors (see below), whose sum is σ = 55094688. Its totient is φ = 6623232.

The previous prime is 20273651. The next prime is 20273681. The reversal of 20273664 is 46637202.

It is a super-2 number, since 2×202736642 = 822042903969792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102814 + ... + 103010.

Almost surely, 220273664 is an apocalyptic number.

20273664 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 20273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27547344).

20273664 is an abundant number, since it is smaller than the sum of its proper divisors (34821024).

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

20273664 is an equidigital number, since it uses as much as digits as its factorization.

20273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 20273664 is about 4502.6285656270. The cubic root of 20273664 is about 272.6742212770.

The spelling of 20273664 in words is "twenty million, two hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 197 201 256 268 384 394 402 512 536 591 768 788 804 1072 1182 1536 1576 1608 2144 2364 3152 3216 4288 4728 6304 6432 8576 9456 12608 12864 13199 17152 18912 25216 25728 26398 34304 37824 39597 50432 51456 52796 75648 79194 100864 102912 105592 151296 158388 211184 302592 316776 422368 633552 844736 1267104 1689472 2534208 3378944 5068416 6757888 10136832 20273664