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11919168 = 263220693
BaseRepresentation
bin101101011101…
…111101000000
3211102120000200
4231131331000
511022403133
61103245200
7203211522
oct55357500
924376020
1011919168
116801058
123ba9800
132614281
141823a12
1510a6913
hexb5df40

11919168 has 42 divisors (see below), whose sum is σ = 34165794. Its totient is φ = 3972864.

The previous prime is 11919163. The next prime is 11919199. The reversal of 11919168 is 86191911.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 304704 = 3408^2 + 552^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11919161) 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 5 ways as a sum of consecutive naturals, for example, 9771 + ... + 10922.

Almost surely, 211919168 is an apocalyptic number.

11919168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11919168 is an abundant number, since it is smaller than the sum of its proper divisors (22246626).

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

11919168 is a wasteful number, since it uses less digits than its factorization.

11919168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20711 (or 20698 counting only the distinct ones).

The product of its digits is 3888, while the sum is 36.

The square root of 11919168 is about 3452.4148070590. The cubic root of 11919168 is about 228.4276369423.

The spelling of 11919168 in words is "eleven million, nine hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20693 41386 62079 82772 124158 165544 186237 248316 331088 372474 496632 662176 744948 993264 1324352 1489896 1986528 2979792 3973056 5959584 11919168