Search a number
-
+
1130561696 = 251122714149
BaseRepresentation
bin100001101100011…
…0000000010100000
32220210100111002102
41003120300002200
54303410433241
6304103505532
740005421145
oct10330600240
92823314072
101130561696
11530199810
122767582a8
131502c1524
14aa2163cc
15693c139b
hex436300a0

1130561696 has 48 divisors (see below), whose sum is σ = 2439007200. Its totient is φ = 511591680.

The previous prime is 1130561671. The next prime is 1130561699. The reversal of 1130561696 is 6961650311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1130561699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72830 + ... + 86978.

It is an arithmetic number, because the mean of its divisors is an integer number (50812650).

Almost surely, 21130561696 is an apocalyptic number.

1130561696 is a gapful number since it is divisible by the number (16) 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 1130561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219503600).

1130561696 is an abundant number, since it is smaller than the sum of its proper divisors (1308445504).

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

1130561696 is a wasteful number, since it uses less digits than its factorization.

1130561696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14397 (or 14389 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 1130561696 is about 33623.8263140886. The cubic root of 1130561696 is about 1041.7529903017.

The spelling of 1130561696 in words is "one billion, one hundred thirty million, five hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 227 352 454 908 1816 2497 3632 4994 7264 9988 14149 19976 28298 39952 56596 79904 113192 155639 226384 311278 452768 622556 1245112 2490224 3211823 4980448 6423646 12847292 25694584 35330053 51389168 70660106 102778336 141320212 282640424 565280848 1130561696