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20006620 = 22517192163
BaseRepresentation
bin100110001010…
…0011011011100
31101122102220221
41030110123130
520110202440
61552451124
7332024224
oct114243334
941572827
1020006620
11103252a7
126849aa4
1341b644a
14292b084
151b52d4a
hex13146dc

20006620 has 72 divisors (see below), whose sum is σ = 47237904. Its totient is φ = 7091712.

The previous prime is 20006611. The next prime is 20006621. The reversal of 20006620 is 2660002.

It is a junction number, because it is equal to n+sod(n) for n = 20006594 and 20006603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006621) 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, 122659 + ... + 122821.

It is an arithmetic number, because the mean of its divisors is an integer number (656082).

Almost surely, 220006620 is an apocalyptic number.

20006620 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 20006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618952).

20006620 is an abundant number, since it is smaller than the sum of its proper divisors (27231284).

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

20006620 is a wasteful number, since it uses less digits than its factorization.

20006620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20006620 is about 4472.8760322638. The cubic root of 20006620 is about 271.4717074301.

Adding to 20006620 its reverse (2660002), we get a palindrome (22666622).

The spelling of 20006620 in words is "twenty million, six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 163 170 190 323 326 340 361 380 646 652 722 815 1292 1444 1615 1630 1805 2771 3097 3230 3260 3610 5542 6137 6194 6460 7220 11084 12274 12388 13855 15485 24548 27710 30685 30970 52649 55420 58843 61370 61940 105298 117686 122740 210596 235372 263245 294215 526490 588430 1000331 1052980 1176860 2000662 4001324 5001655 10003310 20006620