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20918016 = 283271297
BaseRepresentation
bin100111111001…
…0111100000000
31110100202010100
41033302330000
520323334031
62024202400
7342541320
oct117627400
943322110
1020918016
1110898019
127009400
134445232
142ac7280
151c82de6
hex13f2f00

20918016 has 108 divisors (see below), whose sum is σ = 68980912. Its totient is φ = 5971968.

The previous prime is 20918011. The next prime is 20918033. The reversal of 20918016 is 61081902.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20918011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15480 + ... + 16776.

Almost surely, 220918016 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 20918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34490456).

20918016 is an abundant number, since it is smaller than the sum of its proper divisors (48062896).

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

20918016 is a wasteful number, since it uses less digits than its factorization.

20918016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20918016 is about 4573.6217596124. The cubic root of 20918016 is about 275.5329214075.

Adding to 20918016 its reverse (61081902), we get a palindrome (81999918).

It can be divided in two parts, 209 and 18016, that added together give a square (18225 = 1352).

The spelling of 20918016 in words is "twenty million, nine hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1297 1344 1792 2016 2304 2594 2688 3891 4032 5188 5376 7782 8064 9079 10376 11673 15564 16128 18158 20752 23346 27237 31128 36316 41504 46692 54474 62256 72632 81711 83008 93384 108948 124512 145264 163422 166016 186768 217896 249024 290528 326844 332032 373536 435792 498048 581056 653688 747072 871584 996096 1162112 1307376 1494144 1743168 2324224 2614752 2988288 3486336 5229504 6972672 10459008 20918016