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20796512 = 2511241131
BaseRepresentation
bin100111101010…
…1010001100000
31110010120110012
41033111101200
520310442022
62021424052
7341524142
oct117252140
943116405
1020796512
1110814800
126b6b028
134401b39
142a94c92
151c5bde2
hex13d5460

20796512 has 72 divisors (see below), whose sum is σ = 46453176. Its totient is φ = 9152000.

The previous prime is 20796493. The next prime is 20796527. The reversal of 20796512 is 21569702.

It is a super-2 number, since 2×207965122 = 864989822732288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 158687 + ... + 158817.

It is an arithmetic number, because the mean of its divisors is an integer number (645183).

Almost surely, 220796512 is an apocalyptic number.

20796512 is a gapful number since it is divisible by the number (22) 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 20796512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226588).

20796512 is an abundant number, since it is smaller than the sum of its proper divisors (25656664).

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

20796512 is a wasteful number, since it uses less digits than its factorization.

20796512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 20796512 is about 4560.3192870675. The cubic root of 20796512 is about 274.9983999907.

The spelling of 20796512 in words is "twenty million, seven hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 121 131 164 176 242 262 328 352 451 484 524 656 902 968 1048 1312 1441 1804 1936 2096 2882 3608 3872 4192 4961 5371 5764 7216 9922 10742 11528 14432 15851 19844 21484 23056 31702 39688 42968 46112 59081 63404 79376 85936 118162 126808 158752 171872 236324 253616 472648 507232 649891 945296 1299782 1890592 2599564 5199128 10398256 20796512