Search a number
-
+
19793168 = 2417531373
BaseRepresentation
bin100101110000…
…0010100010000
31101020121010022
41023200110100
520031340133
61544123012
7330145013
oct113402420
941217108
1019793168
111019999a
126766468
134140245
1428b337a
151b0e998
hex12e0510

19793168 has 40 divisors (see below), whose sum is σ = 41401368. Its totient is φ = 9132032.

The previous prime is 19793161. The next prime is 19793173. The reversal of 19793168 is 86139791.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 5895184 = 3728^2 + 2428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19793161) 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, 13730 + ... + 15102.

Almost surely, 219793168 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 19793168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700684).

19793168 is an abundant number, since it is smaller than the sum of its proper divisors (21608200).

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

19793168 is a wasteful number, since it uses less digits than its factorization.

19793168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1445 counting only the distinct ones).

The product of its digits is 81648, while the sum is 44.

The square root of 19793168 is about 4448.9513371131. The cubic root of 19793168 is about 270.5028033644.

The spelling of 19793168 in words is "nineteen million, seven hundred ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1373 1802 2746 3604 5492 7208 10984 14416 21968 23341 46682 72769 93364 145538 186728 291076 373456 582152 1164304 1237073 2474146 4948292 9896584 19793168