Search a number
-
+
1100115968 = 2127173761
BaseRepresentation
bin100000110010010…
…0111000000000000
32211200001200101212
41001210213000000
54223112202333
6301055145252
736155555120
oct10144470000
92750050355
101100115968
11514a94456
12268515228
13146bc16c3
14a616cc80
15668aa448
hex41927000

1100115968 has 208 divisors, whose sum is σ = 2778911424. Its totient is φ = 424673280.

The previous prime is 1100115959. The next prime is 1100115971. The reversal of 1100115968 is 8695110011.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 18034658 + ... + 18034718.

Almost surely, 21100115968 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 1100115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389455712).

1100115968 is an abundant number, since it is smaller than the sum of its proper divisors (1678795456).

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

1100115968 is an equidigital number, since it uses as much as digits as its factorization.

1100115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 32.

The square root of 1100115968 is about 33167.9961408584. The cubic root of 1100115968 is about 1032.3163903818.

Adding to 1100115968 its reverse (8695110011), we get a palindrome (9795225979).

The spelling of 1100115968 in words is "one billion, one hundred million, one hundred fifteen thousand, nine hundred sixty-eight".