Search a number
-
+
20145340 = 22517193307
BaseRepresentation
bin100110011011…
…0010010111100
31101220111012201
41030312102330
520124122330
61555441244
7333142525
oct114662274
941814181
1020145340
111040a546
1268b6224
134234627
14296584c
151b7deca
hex13364bc

20145340 has 48 divisors (see below), whose sum is σ = 45172512. Its totient is φ = 7520256.

The previous prime is 20145329. The next prime is 20145341. The reversal of 20145340 is 4354102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145341) 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 15 ways as a sum of consecutive naturals, for example, 65467 + ... + 65773.

It is an arithmetic number, because the mean of its divisors is an integer number (941094).

Almost surely, 220145340 is an apocalyptic number.

20145340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22586256).

20145340 is an abundant number, since it is smaller than the sum of its proper divisors (25027172).

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

20145340 is a wasteful number, since it uses less digits than its factorization.

20145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 20145340 is about 4488.3560464829. The cubic root of 20145340 is about 272.0976977476.

Adding to 20145340 its reverse (4354102), we get a palindrome (24499442).

The spelling of 20145340 in words is "twenty million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 307 340 386 614 772 965 1228 1535 1930 3070 3281 3860 5219 6140 6562 10438 13124 16405 20876 26095 32810 52190 59251 65620 104380 118502 237004 296255 592510 1007267 1185020 2014534 4029068 5036335 10072670 20145340