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20663712 = 2532157457
BaseRepresentation
bin100111011010…
…0110110100000
31102212211021200
41032310312200
520242214322
62014521200
7340432026
oct116646640
942784250
1020663712
1110733a53
126b06200
134386564
142a5c716
151c328ac
hex13b4da0

20663712 has 72 divisors (see below), whose sum is σ = 59266116. Its totient is φ = 6829056.

The previous prime is 20663707. The next prime is 20663719. The reversal of 20663712 is 21736602.

It is a happy number.

20663712 is a `hidden beast` number, since 20 + 6 + 637 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20466576 + 197136 = 4524^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20663719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44988 + ... + 45444.

Almost surely, 220663712 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 20663712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29633058).

20663712 is an abundant number, since it is smaller than the sum of its proper divisors (38602404).

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

20663712 is a wasteful number, since it uses less digits than its factorization.

20663712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20663712 is about 4545.7355840392. The cubic root of 20663712 is about 274.4117984313.

It can be divided in two parts, 2066 and 3712, that added together give a triangular number (5778 = T107).

The spelling of 20663712 in words is "twenty million, six hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 457 471 628 914 942 1256 1371 1413 1828 1884 2512 2742 2826 3656 3768 4113 5024 5484 5652 7312 7536 8226 10968 11304 14624 15072 16452 21936 22608 32904 43872 45216 65808 71749 131616 143498 215247 286996 430494 573992 645741 860988 1147984 1291482 1721976 2295968 2582964 3443952 5165928 6887904 10331856 20663712