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20444676 = 223717103139
BaseRepresentation
bin100110111111…
…1011000000100
31102110200211020
41031333120010
520213212201
62010111140
7335530320
oct115773004
942420736
1020444676
11105a442a
126a1b4b0
13430a955
142a02980
151bdca36
hex137f604

20444676 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 5405184.

The previous prime is 20444639. The next prime is 20444689. The reversal of 20444676 is 67644402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 147015 + ... + 147153.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 220444676 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 20444676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

20444676 is an abundant number, since it is smaller than the sum of its proper divisors (38261244).

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

20444676 is a wasteful number, since it uses less digits than its factorization.

20444676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 20444676 is about 4521.5789277641. The cubic root of 20444676 is about 273.4387609694.

The spelling of 20444676 in words is "twenty million, four hundred forty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 103 119 139 204 206 238 278 309 357 412 417 476 556 618 714 721 834 973 1236 1428 1442 1668 1751 1946 2163 2363 2884 2919 3502 3892 4326 4726 5253 5838 7004 7089 8652 9452 10506 11676 12257 14178 14317 16541 21012 24514 28356 28634 33082 36771 42951 49028 49623 57268 66164 73542 85902 99246 100219 147084 171804 198492 200438 243389 300657 400876 486778 601314 730167 973556 1202628 1460334 1703723 2920668 3407446 5111169 6814892 10222338 20444676