Search a number
-
+
20255235840 = 2836572443
BaseRepresentation
bin10010110111010011…
…100101111100000000
31221021121210121000000
4102313103211330000
5312440320021330
613145524000000
71314641443500
oct226723457400
957247717000
1020255235840
118654609534
123b13530000
131baa531568
14da2165a00
157d8386560
hex4b74e5f00

20255235840 has 756 divisors, whose sum is σ = 84810600504. Its totient is φ = 4619317248.

The previous prime is 20255235829. The next prime is 20255235841. The reversal of 20255235840 is 4853255202.

It is a happy number.

20255235840 is a `hidden beast` number, since 2 + 0 + 2 + 55 + 23 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a junction number, because it is equal to n+sod(n) for n = 20255235795 and 20255235804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20255235841) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 45722659 + ... + 45723101.

It is an arithmetic number, because the mean of its divisors is an integer number (112183334).

Almost surely, 220255235840 is an apocalyptic number.

20255235840 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 20255235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42405300252).

20255235840 is an abundant number, since it is smaller than the sum of its proper divisors (64555364664).

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

20255235840 is an frugal number, since it uses more digits than its factorization.

20255235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 20255235840 in words is "twenty billion, two hundred fifty-five million, two hundred thirty-five thousand, eight hundred forty".