Search a number
-
+
20190096 = 2432149941
BaseRepresentation
bin100110100000…
…1001110010000
31101222202121100
41031001032100
520132040341
62000424400
7333420153
oct115011620
941882540
1020190096
1110440133
126918100
13424bb04
142977c9a
151b8c3b6
hex1341390

20190096 has 60 divisors (see below), whose sum is σ = 56943900. Its totient is φ = 6677760.

The previous prime is 20190029. The next prime is 20190097. The reversal of 20190096 is 69009102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 13220496 = 2640^2 + 3636^2 .

It is not an unprimeable number, because it can be changed into a prime (20190097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20986 + ... + 21926.

It is an arithmetic number, because the mean of its divisors is an integer number (949065).

Almost surely, 220190096 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 20190096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28471950).

20190096 is an abundant number, since it is smaller than the sum of its proper divisors (36753804).

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

20190096 is a wasteful number, since it uses less digits than its factorization.

20190096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 20190096 is about 4493.3390702238. The cubic root of 20190096 is about 272.2990511331.

Adding to 20190096 its reverse (69009102), we get a palindrome (89199198).

The spelling of 20190096 in words is "twenty million, one hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 941 1192 1341 1788 1882 2384 2682 2823 3576 3764 5364 5646 7152 7528 8469 10728 11292 15056 16938 21456 22584 33876 45168 67752 135504 140209 280418 420627 560836 841254 1121672 1261881 1682508 2243344 2523762 3365016 5047524 6730032 10095048 20190096