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20053140 = 2235615479
BaseRepresentation
bin100110001111…
…1110010010100
31101201210201220
41030133302110
520113200030
61553450340
7332306652
oct114376224
941653656
1020053140
1110357248
1268709b0
134201683
14293ddd2
151b61a10
hex131fc94

20053140 has 48 divisors (see below), whose sum is σ = 57079680. Its totient is φ = 5258880.

The previous prime is 20053129. The next prime is 20053147. The reversal of 20053140 is 4135002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20053147) 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, 921 + ... + 6399.

It is an arithmetic number, because the mean of its divisors is an integer number (1189160).

Almost surely, 220053140 is an apocalyptic number.

20053140 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 20053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28539840).

20053140 is an abundant number, since it is smaller than the sum of its proper divisors (37026540).

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

20053140 is a wasteful number, since it uses less digits than its factorization.

20053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20053140 is about 4478.0732463862. The cubic root of 20053140 is about 271.6819559731.

Adding to 20053140 its reverse (4135002), we get a palindrome (24188142).

The spelling of 20053140 in words is "twenty million, fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 5479 10958 16437 21916 27395 32874 54790 65748 82185 109580 164370 328740 334219 668438 1002657 1336876 1671095 2005314 3342190 4010628 5013285 6684380 10026570 20053140