Search a number
-
+
20803030560 = 253251317131499
BaseRepresentation
bin10011010111111101…
…010000111000100000
31222200210120110002100
4103113331100320200
5320101033434220
613320133050400
71334342561604
oct232775207040
958623513070
1020803030560
11890584a844
124046a86a00
131c66b7c050
141014bdd504
1581b4e0d90
hex4d7f50e20

20803030560 has 576 divisors, whose sum is σ = 81729648000. Its totient is φ = 4773150720.

The previous prime is 20803030513. The next prime is 20803030597. The reversal of 20803030560 is 6503030802.

20803030560 is a `hidden beast` number, since 20 + 80 + 3 + 0 + 3 + 0 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 41689191 + ... + 41689689.

It is an arithmetic number, because the mean of its divisors is an integer number (141891750).

Almost surely, 220803030560 is an apocalyptic number.

20803030560 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 20803030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40864824000).

20803030560 is an abundant number, since it is smaller than the sum of its proper divisors (60926617440).

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

20803030560 is a wasteful number, since it uses less digits than its factorization.

20803030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20803030560 in words is "twenty billion, eight hundred three million, thirty thousand, five hundred sixty".