Search a number
-
+
1088000000 = 2125617
BaseRepresentation
bin100000011011001…
…1001000000000000
32210211021010102022
41000312121000000
54212012000000
6255543341012
735650563443
oct10066310000
92724233368
101088000000
1150916955a
12264451768
1314453b9a9
14a46d765a
15657b5585
hex40d99000

1088000000 has 182 divisors, whose sum is σ = 2879611578. Its totient is φ = 409600000.

The previous prime is 1087999993. The next prime is 1088000003. The reversal of 1088000000 is 8801.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 1073741824 + 14258176 = 32768^2 + 3776^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1088000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 63999992 + ... + 64000008.

Almost surely, 21088000000 is an apocalyptic number.

1088000000 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 1088000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439805789).

1088000000 is an abundant number, since it is smaller than the sum of its proper divisors (1791611578).

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

1088000000 is an frugal number, since it uses more digits than its factorization.

1088000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1088000000 is about 32984.8450049413. The cubic root of 1088000000 is about 1028.5126362633.

Multiplying 1088000000 by its sum of digits (17), we get a square (18496000000 = 1360002).

1088000000 divided by its sum of digits (17) gives a 6-th power (64000000 = 206).

Adding to 1088000000 its reverse (8801), we get a palindrome (1088008801).

The spelling of 1088000000 in words is "one billion, eighty-eight million", and thus it is an aban number and an uban number.