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20267016 = 2337112997
BaseRepresentation
bin100110101010…
…0000000001000
31102010200010020
41031110000020
520142021031
62002220440
7334160340
oct115240010
942120106
1020267016
1110492a00
126954720
134277b23
142997d20
151ba5096
hex1354008

20267016 has 96 divisors (see below), whose sum is σ = 63712320. Its totient is φ = 5258880.

The previous prime is 20266999. The next prime is 20267029. The reversal of 20267016 is 61076202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19830 + ... + 20826.

It is an arithmetic number, because the mean of its divisors is an integer number (663670).

Almost surely, 220267016 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 20267016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31856160).

20267016 is an abundant number, since it is smaller than the sum of its proper divisors (43445304).

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

20267016 is a wasteful number, since it uses less digits than its factorization.

20267016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20267016 is about 4501.8902696534. The cubic root of 20267016 is about 272.6444135356.

The spelling of 20267016 in words is "twenty million, two hundred sixty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 997 1452 1694 1848 1994 2541 2904 2991 3388 3988 5082 5982 6776 6979 7976 10164 10967 11964 13958 20328 20937 21934 23928 27916 32901 41874 43868 55832 65802 76769 83748 87736 120637 131604 153538 167496 230307 241274 263208 307076 361911 460614 482548 614152 723822 844459 921228 965096 1447644 1688918 1842456 2533377 2895288 3377836 5066754 6755672 10133508 20267016