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20617220 = 22513179443
BaseRepresentation
bin100111010100…
…1100000000100
31102210110111202
41032221200010
520234222340
62013522032
7340146341
oct116514004
942713452
1020617220
1110702028
126aa3318
13436b350
142a497c8
151c23c15
hex13a9804

20617220 has 48 divisors (see below), whose sum is σ = 46992960. Its totient is φ = 7552896.

The previous prime is 20617213. The next prime is 20617229. The reversal of 20617220 is 2271602.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20617192 and 20617201.

It is not an unprimeable number, because it can be changed into a prime (20617229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46319 + ... + 46761.

It is an arithmetic number, because the mean of its divisors is an integer number (979020).

Almost surely, 220617220 is an apocalyptic number.

20617220 is a gapful number since it is divisible by the number (20) 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 20617220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496480).

20617220 is an abundant number, since it is smaller than the sum of its proper divisors (26375740).

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

20617220 is a wasteful number, since it uses less digits than its factorization.

20617220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

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

The square root of 20617220 is about 4540.6189005465. The cubic root of 20617220 is about 274.2058410264.

Adding to 20617220 its reverse (2271602), we get a palindrome (22888822).

The spelling of 20617220 in words is "twenty million, six hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 443 716 886 895 1772 1790 2215 2327 3580 4430 4654 5759 8860 9308 11518 11635 23036 23270 28795 46540 57590 79297 115180 158594 317188 396485 792970 1030861 1585940 2061722 4123444 5154305 10308610 20617220