Search a number
-
+
1027000000 = 26561379
BaseRepresentation
bin111101001101101…
…100011011000000
32122120111000011001
4331031230123000
54100403000000
6245524101344
734310233045
oct7515543300
92576430131
101027000000
11487795334
12247b34854
13134a01810
149a5791cc
156026646a
hex3d36c6c0

1027000000 has 196 divisors, whose sum is σ = 2778089440. Its totient is φ = 374400000.

The previous prime is 1026999949. The next prime is 1027000001. The reversal of 1027000000 is 7201.

1027000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1027000000 = 3003 + 10003 = 7753 + 8253.

It is not an unprimeable number, because it can be changed into a prime (1027000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12999961 + ... + 13000039.

Almost surely, 21027000000 is an apocalyptic number.

1027000000 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 1027000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389044720).

1027000000 is an abundant number, since it is smaller than the sum of its proper divisors (1751089440).

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

1027000000 is an frugal number, since it uses more digits than its factorization.

1027000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 1027000000 is about 32046.8407179241. The cubic root of 1027000000 is about 1008.9201935541.

Adding to 1027000000 its reverse (7201), we get a palindrome (1027007201).

The spelling of 1027000000 in words is "one billion, twenty-seven million", and thus it is an aban number and an uban number.