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20663100 = 2234522551
BaseRepresentation
bin100111011010…
…0101100111100
31102212210110000
41032310230330
520242204400
62014514300
7340430163
oct116645474
942783400
1020663100
1110733547
126b05990
1343861b3
142a5c3da
151c32600
hex13b4b3c

20663100 has 90 divisors (see below), whose sum is σ = 67007864. Its totient is φ = 5508000.

The previous prime is 20663087. The next prime is 20663107. The reversal of 20663100 is 136602.

It is a happy number.

20663100 is a `hidden beast` number, since 2 + 0 + 663 + 1 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×206631002 = 853927403220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20663107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6825 + ... + 9375.

Almost surely, 220663100 is an apocalyptic number.

20663100 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 20663100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33503932).

20663100 is an abundant number, since it is smaller than the sum of its proper divisors (46344764).

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

20663100 is a wasteful number, since it uses less digits than its factorization.

20663100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20663100 is about 4545.6682677028. The cubic root of 20663100 is about 274.4090893073.

Adding to 20663100 its reverse (136602), we get a palindrome (20799702).

The spelling of 20663100 in words is "twenty million, six hundred sixty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2551 2700 4050 5102 7653 8100 10204 12755 15306 22959 25510 30612 38265 45918 51020 63775 68877 76530 91836 114795 127550 137754 153060 191325 206631 229590 255100 275508 344385 382650 413262 459180 573975 688770 765300 826524 1033155 1147950 1377540 1721925 2066310 2295900 3443850 4132620 5165775 6887700 10331550 20663100