Search a number
-
+
20089080 = 23335111989
BaseRepresentation
bin100110010100…
…0100011111000
31101210122001000
41030220203320
520120322310
61554325000
7332516514
oct114504370
941718030
1020089080
1110381250
126889760
134214b3b
14294d144
151b6c4c0
hex13288f8

20089080 has 256 divisors, whose sum is σ = 77760000. Its totient is φ = 4561920.

The previous prime is 20089073. The next prime is 20089081. The reversal of 20089080 is 8098002.

It is a super-2 number, since 2×200890802 = 807142270492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20089081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225676 + ... + 225764.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 220089080 is an apocalyptic number.

20089080 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 20089080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880000).

20089080 is an abundant number, since it is smaller than the sum of its proper divisors (57670920).

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

20089080 is a wasteful number, since it uses less digits than its factorization.

20089080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20089080 is about 4482.0843365559. The cubic root of 20089080 is about 271.8441653496.

The spelling of 20089080 in words is "twenty million, eighty-nine thousand, eighty".