Search a number
-
+
1100116590 = 235116331531
BaseRepresentation
bin100000110010010…
…0111001001101110
32211200001201020220
41001210213021232
54223112212330
6301055152210
736155556666
oct10144471156
92750051226
101100116590
11514a94971
12268515666
13146bc1a81
14a616d1a6
15668aa710
hex4192726e

1100116590 has 32 divisors (see below), whose sum is σ = 2642633856. Its totient is φ = 293102880.

The previous prime is 1100116583. The next prime is 1100116621. The reversal of 1100116590 is 956110011.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100116590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19125 + ... + 50655.

It is an arithmetic number, because the mean of its divisors is an integer number (82582308).

Almost surely, 21100116590 is an apocalyptic number.

1100116590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100116590 is an abundant number, since it is smaller than the sum of its proper divisors (1542517266).

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

1100116590 is a wasteful number, since it uses less digits than its factorization.

1100116590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32704.

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 1100116590 is about 33168.0055173657. The cubic root of 1100116590 is about 1032.3165849372.

The spelling of 1100116590 in words is "one billion, one hundred million, one hundred sixteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 1163 2326 3489 5815 6978 11630 17445 31531 34890 63062 94593 157655 189186 315310 472965 945930 36670553 73341106 110011659 183352765 220023318 366705530 550058295 1100116590