Search a number
-
+
20290144 = 257239379
BaseRepresentation
bin100110101100…
…1101001100000
31102011211211211
41031121221200
520143241034
62002515504
7334314640
oct115315140
942154754
1020290144
11104a9316
126965b94
134285504
1429a2520
151babd64
hex1359a60

20290144 has 48 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 8636544.

The previous prime is 20290139. The next prime is 20290147. The reversal of 20290144 is 44109202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20290147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53347 + ... + 53725.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 220290144 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 20290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

20290144 is an abundant number, since it is smaller than the sum of its proper divisors (25674656).

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

20290144 is a wasteful number, since it uses less digits than its factorization.

20290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 20290144 is about 4504.4582360146. The cubic root of 20290144 is about 272.7480848225.

Adding to 20290144 its reverse (44109202), we get a palindrome (64399346).

The spelling of 20290144 in words is "twenty million, two hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 379 478 758 956 1516 1673 1912 2653 3032 3346 3824 5306 6064 6692 7648 10612 12128 13384 21224 26768 42448 53536 84896 90581 181162 362324 634067 724648 1268134 1449296 2536268 2898592 5072536 10145072 20290144