Search a number
-
+
3019806720 = 211325731151
BaseRepresentation
bin1011001111111110…
…1001100000000000
321210110022002001100
42303333221200000
522141032303340
61215352534400
7134555635140
oct26377514000
97713262040
103019806720
11130a669537
127033b1400
1339182a9a8
142090c0920
1512a1a7830
hexb3fe9800

3019806720 has 576 divisors, whose sum is σ = 12428881920. Its totient is φ = 663552000.

The previous prime is 3019806703. The next prime is 3019806721. The reversal of 3019806720 is 276089103.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3019806721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19998645 + ... + 19998795.

It is an arithmetic number, because the mean of its divisors is an integer number (21577920).

Almost surely, 23019806720 is an apocalyptic number.

3019806720 is a gapful number since it is divisible by the number (30) 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 3019806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214440960).

3019806720 is an abundant number, since it is smaller than the sum of its proper divisors (9409075200).

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

3019806720 is a wasteful number, since it uses less digits than its factorization.

3019806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3019806720 is about 54952.7680831457. The cubic root of 3019806720 is about 1445.4166365237.

The spelling of 3019806720 in words is "three billion, nineteen million, eight hundred six thousand, seven hundred twenty".