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20042240 = 2957829
BaseRepresentation
bin100110001110…
…1001000000000
31101201020210012
41030131020000
520112322430
61553324052
7332233121
oct114351000
941636705
1020042240
111034a039
126866628
1341c971a
14293a048
151b5d695
hex131d200

20042240 has 40 divisors (see below), whose sum is σ = 48060540. Its totient is φ = 8015872.

The previous prime is 20042173. The next prime is 20042249. The reversal of 20042240 is 4224002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18524416 + 1517824 = 4304^2 + 1232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20042249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1355 + ... + 6474.

Almost surely, 220042240 is an apocalyptic number.

20042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042240 is an abundant number, since it is smaller than the sum of its proper divisors (28018300).

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

20042240 is an frugal number, since it uses more digits than its factorization.

20042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 20042240 is about 4476.8560396778. The cubic root of 20042240 is about 271.6327222864.

Adding to 20042240 its reverse (4224002), we get a palindrome (24266242).

The spelling of 20042240 in words is "twenty million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 7829 15658 31316 39145 62632 78290 125264 156580 250528 313160 501056 626320 1002112 1252640 2004224 2505280 4008448 5010560 10021120 20042240