Search a number
-
+
20638710 = 2325435333
BaseRepresentation
bin100111010111…
…0101111110110
31102211112222200
41032232233312
520240414320
62014205330
7340266111
oct116565766
942745880
1020638710
1110717194
126ab3846
134378071
142a53578
151c2a290
hex13aebf6

20638710 has 48 divisors (see below), whose sum is σ = 54918864. Its totient is φ = 5374656.

The previous prime is 20638699. The next prime is 20638729. The reversal of 20638710 is 1783602.

20638710 is a `hidden beast` number, since 20 + 638 + 7 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204 + ... + 6536.

It is an arithmetic number, because the mean of its divisors is an integer number (1144143).

Almost surely, 220638710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20638710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27459432).

20638710 is an abundant number, since it is smaller than the sum of its proper divisors (34280154).

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

20638710 is a wasteful number, since it uses less digits than its factorization.

20638710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20638710 is about 4542.9847017132. The cubic root of 20638710 is about 274.3010791709.

The spelling of 20638710 in words is "twenty million, six hundred thirty-eight thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 5333 10666 15999 26665 31998 47997 53330 79995 95994 159990 229319 239985 458638 479970 687957 1146595 1375914 2063871 2293190 3439785 4127742 6879570 10319355 20638710