Search a number
-
+
20816388 = 223273892
BaseRepresentation
bin100111101101…
…0001000000100
31110011120201100
41033122020010
520312111023
62022100100
7341636115
oct117321004
943146640
1020816388
111082872a
126b7a630
13440abb8
142a9c20c
151c62c43
hex13da204

20816388 has 54 divisors (see below), whose sum is σ = 53946074. Its totient is φ = 6766848.

The previous prime is 20816387. The next prime is 20816413. The reversal of 20816388 is 88361802.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 20629764 = 432^2 + 4542^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20816387) 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, 233848 + ... + 233936.

Almost surely, 220816388 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 20816388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26973037).

20816388 is an abundant number, since it is smaller than the sum of its proper divisors (33129686).

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

20816388 is a wasteful number, since it uses less digits than its factorization.

20816388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 20816388 is about 4562.4979999996. The cubic root of 20816388 is about 275.0859808281.

The spelling of 20816388 in words is "twenty million, eight hundred sixteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 89 146 178 219 267 292 356 438 534 657 801 876 1068 1314 1602 2628 3204 6497 7921 12994 15842 19491 23763 25988 31684 38982 47526 58473 71289 77964 95052 116946 142578 233892 285156 578233 1156466 1734699 2312932 3469398 5204097 6938796 10408194 20816388