Search a number
-
+
20703008 = 2517192003
BaseRepresentation
bin100111011111…
…0011100100000
31102221211012002
41032332130200
520244444013
62015423132
7340654424
oct116763440
942854162
1020703008
1110760527
126b24aa8
13439b401
142a6cb84
151c3e358
hex13be720

20703008 has 48 divisors (see below), whose sum is σ = 45450720. Its totient is φ = 9225216.

The previous prime is 20702993. The next prime is 20703031. The reversal of 20703008 is 80030702.

It is a super-2 number, since 2×207030082 = 857229080496128, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9335 + ... + 11337.

It is an arithmetic number, because the mean of its divisors is an integer number (946890).

Almost surely, 220703008 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 20703008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725360).

20703008 is an abundant number, since it is smaller than the sum of its proper divisors (24747712).

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

20703008 is a wasteful number, since it uses less digits than its factorization.

20703008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20703008 is about 4550.0558238334. The cubic root of 20703008 is about 274.5856371193.

The spelling of 20703008 in words is "twenty million, seven hundred three thousand, eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2003 2584 4006 5168 8012 10336 16024 32048 34051 38057 64096 68102 76114 136204 152228 272408 304456 544816 608912 646969 1089632 1217824 1293938 2587876 5175752 10351504 20703008