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20663300 = 2252724217
BaseRepresentation
bin100111011010…
…0110000000100
31102212210201102
41032310300010
520242211200
62014515232
7340430600
oct116646004
942783642
1020663300
1110733709
126b05b18
134386308
142a5c500
151c326d5
hex13b4c04

20663300 has 54 divisors (see below), whose sum is σ = 52172442. Its totient is φ = 7082880.

The previous prime is 20663273. The next prime is 20663309. The reversal of 20663300 is 336602.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4293184 + 16370116 = 2072^2 + 4046^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20663309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2792 + ... + 7008.

Almost surely, 220663300 is an apocalyptic number.

20663300 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 20663300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26086221).

20663300 is an abundant number, since it is smaller than the sum of its proper divisors (31509142).

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

20663300 is a wasteful number, since it uses less digits than its factorization.

20663300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 20663300 is about 4545.6902666152. The cubic root of 20663300 is about 274.4099746478.

Adding to 20663300 its reverse (336602), we get a palindrome (20999902).

The spelling of 20663300 in words is "twenty million, six hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4217 4900 8434 16868 21085 29519 42170 59038 84340 105425 118076 147595 206633 210850 295190 413266 421700 590380 737975 826532 1033165 1475950 2066330 2951900 4132660 5165825 10331650 20663300