Search a number
-
+
1089012288 = 263713157397
BaseRepresentation
bin100000011101001…
…0000001001000000
32210220011120000110
41000322100021000
54212241343123
6300021151320
735662310640
oct10072201100
92726146013
101089012288
115097a0061
1226485b540
13144804690
14a48bc520
1565915493
hex40e90240

1089012288 has 224 divisors, whose sum is σ = 3577848064. Its totient is φ = 284663808.

The previous prime is 1089012283. The next prime is 1089012289. The reversal of 1089012288 is 8822109801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1089012283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2742906 + ... + 2743302.

It is an arithmetic number, because the mean of its divisors is an integer number (15972536).

Almost surely, 21089012288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788924032).

1089012288 is an abundant number, since it is smaller than the sum of its proper divisors (2488835776).

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

1089012288 is a wasteful number, since it uses less digits than its factorization.

1089012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 1089012288 is about 33000.1861812930. The cubic root of 1089012288 is about 1028.8315174724.

The spelling of 1089012288 in words is "one billion, eighty-nine million, twelve thousand, two hundred eighty-eight".