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20894016 = 2631113761
BaseRepresentation
bin100111110110…
…1000101000000
31110022112012110
41033231011000
520322102031
62023455320
7342411333
oct117550500
943275173
1020894016
1110880a90
126bb7540
134437330
142abc61a
151c7ac46
hex13ed140

20894016 has 112 divisors (see below), whose sum is σ = 65032128. Its totient is φ = 5836800.

The previous prime is 20894009. The next prime is 20894023. The reversal of 20894016 is 61049802.

It is an interprime number because it is at equal distance from previous prime (20894009) and next prime (20894023).

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 15 ways as a sum of consecutive naturals, for example, 27076 + ... + 27836.

It is an arithmetic number, because the mean of its divisors is an integer number (580644).

Almost surely, 220894016 is an apocalyptic number.

20894016 is a gapful number since it is divisible by the number (26) 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 20894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32516064).

20894016 is an abundant number, since it is smaller than the sum of its proper divisors (44138112).

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

20894016 is a wasteful number, since it uses less digits than its factorization.

20894016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20894016 is about 4570.9972653678. The cubic root of 20894016 is about 275.4275047696.

It can be divided in two parts, 2089 and 4016, that added together give a triangular number (6105 = T110).

The spelling of 20894016 in words is "twenty million, eight hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 761 832 858 1056 1144 1248 1522 1716 2112 2283 2288 2496 3044 3432 4566 4576 6088 6864 8371 9132 9152 9893 12176 13728 16742 18264 19786 24352 25113 27456 29679 33484 36528 39572 48704 50226 59358 66968 73056 79144 100452 108823 118716 133936 146112 158288 200904 217646 237432 267872 316576 326469 401808 435292 474864 535744 633152 652938 803616 870584 949728 1305876 1607232 1741168 1899456 2611752 3482336 5223504 6964672 10447008 20894016