Search a number
-
+
20543214960 = 24325194789359
BaseRepresentation
bin10011001000011110…
…001001010101110000
31222000200200110002100
4103020132021111300
5314033030334320
613234252220400
71325036305662
oct231036112560
958020613070
1020543214960
118792122504
123b93a6a700
131c250b09c8
14dcc4ca532
158037bd790
hex4c8789570

20543214960 has 480 divisors, whose sum is σ = 75209472000. Its totient is φ = 5008379904.

The previous prime is 20543214959. The next prime is 20543214973. The reversal of 20543214960 is 6941234502.

It is a happy number.

20543214960 is a `hidden beast` number, since 2 + 0 + 543 + 21 + 4 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57223261 + ... + 57223619.

It is an arithmetic number, because the mean of its divisors is an integer number (156686400).

Almost surely, 220543214960 is an apocalyptic number.

20543214960 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 20543214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604736000).

20543214960 is an abundant number, since it is smaller than the sum of its proper divisors (54666257040).

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

20543214960 is a wasteful number, since it uses less digits than its factorization.

20543214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20543214960 in words is "twenty billion, five hundred forty-three million, two hundred fourteen thousand, nine hundred sixty".