Search a number
-
+
20114540 = 22519431231
BaseRepresentation
bin100110010111…
…0110001101100
31101211220221222
41030232301230
520122131130
61555042512
7332653655
oct114566154
941756858
1020114540
1110399396
1268a0438
1342235c4
14295852c
151b74ce5
hex132ec6c

20114540 has 48 divisors (see below), whose sum is σ = 45534720. Its totient is φ = 7439040.

The previous prime is 20114531. The next prime is 20114557. The reversal of 20114540 is 4541102.

It is a congruent number.

It is an unprimeable number.

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, 15725 + ... + 16955.

It is an arithmetic number, because the mean of its divisors is an integer number (948640).

Almost surely, 220114540 is an apocalyptic number.

20114540 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 20114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22767360).

20114540 is an abundant number, since it is smaller than the sum of its proper divisors (25420180).

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

20114540 is a wasteful number, since it uses less digits than its factorization.

20114540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 20114540 is about 4484.9236336865. The cubic root of 20114540 is about 271.9589579078.

Adding to 20114540 its reverse (4541102), we get a palindrome (24655642).

It can be divided in two parts, 201 and 14540, that added together give a palindrome (14741).

The spelling of 20114540 in words is "twenty million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1231 1634 2462 3268 4085 4924 6155 8170 12310 16340 23389 24620 46778 52933 93556 105866 116945 211732 233890 264665 467780 529330 1005727 1058660 2011454 4022908 5028635 10057270 20114540