Search a number
-
+
21017808 = 2432729719
BaseRepresentation
bin101000000101…
…1010011010000
31110112211000100
41100023103100
520340032213
62030252400
7343435260
oct120132320
943484010
1021017808
1110955a99
127057100
13447b796
142b117a0
151ca2773
hex140b4d0

21017808 has 120 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 5789952.

The previous prime is 21017803. The next prime is 21017809. The reversal of 21017808 is 80871012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21017803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28873 + ... + 29591.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 221017808 is an apocalyptic number.

21017808 is a gapful number since it is divisible by the number (28) 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 21017808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

21017808 is an abundant number, since it is smaller than the sum of its proper divisors (48620592).

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

21017808 is a wasteful number, since it uses less digits than its factorization.

21017808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 21017808 is about 4584.5182953065. The cubic root of 21017808 is about 275.9703811946.

The spelling of 21017808 in words is "twenty-one million, seventeen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 719 812 1008 1044 1218 1392 1438 1624 1827 2088 2157 2436 2876 3248 3654 4176 4314 4872 5033 5752 6471 7308 8628 9744 10066 11504 12942 14616 15099 17256 20132 20851 25884 29232 30198 34512 40264 41702 45297 51768 60396 62553 80528 83404 90594 103536 120792 125106 145957 166808 181188 187659 241584 250212 291914 333616 362376 375318 437871 500424 583828 724752 750636 875742 1000848 1167656 1313613 1501272 1751484 2335312 2627226 3002544 3502968 5254452 7005936 10508904 21017808