Search a number
-
+
20306674080 = 2536572111719
BaseRepresentation
bin10010111010010111…
…110100000110100000
31221102012120221000000
4102322113310012200
5313042002032310
613155002300000
71316134611300
oct227227640640
957365527000
1020306674080
118680651880
123b287b7600
131bb80a14a4
14da8d15600
157dcb474c0
hex4ba5f41a0

20306674080 has 2016 divisors, whose sum is σ = 101735040960. Its totient is φ = 3762339840.

The previous prime is 20306674067. The next prime is 20306674081. The reversal of 20306674080 is 8047660302.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×203066740802 (a number of 21 digits) contains 22 as substring.

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 (20306674081) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1068772311 + ... + 1068772329.

It is an arithmetic number, because the mean of its divisors is an integer number (50463810).

Almost surely, 220306674080 is an apocalyptic number.

20306674080 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 20306674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50867520480).

20306674080 is an abundant number, since it is smaller than the sum of its proper divisors (81428366880).

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

20306674080 is a wasteful number, since it uses less digits than its factorization.

20306674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20306674080 in words is "twenty billion, three hundred six million, six hundred seventy-four thousand, eighty".