Search a number
-
+
1051868880 = 2432517194523
BaseRepresentation
bin111110101100100…
…011111011010000
32201022021110211200
4332230203323100
54123234301010
6252213111200
735031511056
oct7654437320
92638243750
101051868880
1149a830727
12254328500
13139bcb12a
149d9b01d6
1562529cc0
hex3eb23ed0

1051868880 has 240 divisors, whose sum is σ = 3938051520. Its totient is φ = 250048512.

The previous prime is 1051868849. The next prime is 1051868887. The reversal of 1051868880 is 888681501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10518688802 = 2212856281424908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051868887) 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 47 ways as a sum of consecutive naturals, for example, 230299 + ... + 234821.

It is an arithmetic number, because the mean of its divisors is an integer number (16408548).

Almost surely, 21051868880 is an apocalyptic number.

1051868880 is a gapful number since it is divisible by the number (10) 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 1051868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969025760).

1051868880 is an abundant number, since it is smaller than the sum of its proper divisors (2886182640).

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

1051868880 is a wasteful number, since it uses less digits than its factorization.

1051868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 1051868880 is about 32432.5281160751. The cubic root of 1051868880 is about 1016.9990225160. Note that the first 3 decimals are identical.

The spelling of 1051868880 in words is "one billion, fifty-one million, eight hundred sixty-eight thousand, eight hundred eighty".