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1089440136 = 2332371014049
BaseRepresentation
bin100000011101111…
…1000100110001000
32210220222021220200
41000323320212020
54212344041021
6300034252200
735666042211
oct10073704610
92726867820
101089440136
11509a62554
12264a27060
13144924345
14a4990408
156599c126
hex40ef8988

1089440136 has 96 divisors (see below), whose sum is σ = 3061071000. Its totient is φ = 349747200.

The previous prime is 1089440111. The next prime is 1089440137. The reversal of 1089440136 is 6310449801.

1089440136 is a `hidden beast` number, since 1 + 0 + 89 + 440 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1089396036 + 44100 = 33006^2 + 210^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1089440136.

It is not an unprimeable number, because it can be changed into a prime (1089440137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267040 + ... + 271088.

Almost surely, 21089440136 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 1089440136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530535500).

1089440136 is an abundant number, since it is smaller than the sum of its proper divisors (1971630864).

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

1089440136 is a wasteful number, since it uses less digits than its factorization.

1089440136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1089440136 is about 33006.6680535918. The cubic root of 1089440136 is about 1028.9662346158.

Adding to 1089440136 its reverse (6310449801), we get a palindrome (7399889937).

The spelling of 1089440136 in words is "one billion, eighty-nine million, four hundred forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 101 111 148 202 222 296 303 333 404 444 606 666 808 888 909 1212 1332 1818 2424 2664 3636 3737 4049 7272 7474 8098 11211 12147 14948 16196 22422 24294 29896 32392 33633 36441 44844 48588 67266 72882 89688 97176 134532 145764 149813 269064 291528 299626 408949 449439 599252 817898 898878 1198504 1226847 1348317 1635796 1797756 2453694 2696634 3271592 3595512 3680541 4907388 5393268 7361082 9814776 10786536 14722164 15131113 29444328 30262226 45393339 60524452 90786678 121048904 136180017 181573356 272360034 363146712 544720068 1089440136