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20276208 = 24321391013
BaseRepresentation
bin100110101011…
…0001111110000
31102011010201200
41031112033300
520142314313
62002331200
7334226211
oct115261760
942133650
1020276208
11104998a7
126959b00
13427c074
14299b408
151ba7b73
hex13563f0

20276208 has 60 divisors (see below), whose sum is σ = 57209880. Its totient is φ = 6703488.

The previous prime is 20276203. The next prime is 20276209. The reversal of 20276208 is 80267202.

It is a super-2 number, since 2×202762082 = 822249221718528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20276203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19510 + ... + 20522.

It is an arithmetic number, because the mean of its divisors is an integer number (953498).

Almost surely, 220276208 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 20276208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604940).

20276208 is an abundant number, since it is smaller than the sum of its proper divisors (36933672).

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

20276208 is a wasteful number, since it uses less digits than its factorization.

20276208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20276208 is about 4502.9110584154. The cubic root of 20276208 is about 272.6856261256.

Adding to 20276208 its product of nonzero digits (2688), we get a triangular number (20278896 = T6368).

The spelling of 20276208 in words is "twenty million, two hundred seventy-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1013 1112 1251 1668 2026 2224 2502 3039 3336 4052 5004 6078 6672 8104 9117 10008 12156 16208 18234 20016 24312 36468 48624 72936 140807 145872 281614 422421 563228 844842 1126456 1267263 1689684 2252912 2534526 3379368 5069052 6758736 10138104 20276208