Search a number
-
+
5681404800 = 27345223953
BaseRepresentation
bin1010100101010001…
…10101101110000000
3112122221120021020000
411102220311232000
543113414423200
62335432120000
7260535100251
oct52250655600
915587507200
105681404800
112456006575
121126836000
136c708a0b6
143bc798b28
15233ba4300
hex152a35b80

5681404800 has 480 divisors, whose sum is σ = 21900138480. Its totient is φ = 1447649280.

The previous prime is 5681404769. The next prime is 5681404867. The reversal of 5681404800 is 84041865.

5681404800 is a `hidden beast` number, since 568 + 14 + 0 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 5961124 + ... + 5962076.

Almost surely, 25681404800 is an apocalyptic number.

5681404800 is a gapful number since it is divisible by the number (50) 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 5681404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950069240).

5681404800 is an abundant number, since it is smaller than the sum of its proper divisors (16218733680).

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

5681404800 is a wasteful number, since it uses less digits than its factorization.

5681404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5681404800 is about 75375.0940297921. The cubic root of 5681404800 is about 1784.3713625615.

The spelling of 5681404800 in words is "five billion, six hundred eighty-one million, four hundred four thousand, eight hundred".