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20443240 = 2351937727
BaseRepresentation
bin100110111111…
…1000001101000
31102110121212001
41031333001220
520213140430
62010100344
7335523166
oct115770150
942417761
1020443240
11105a3344
126a1a6b4
13430a0bc
142a02236
151bdc3ca
hex137f068

20443240 has 64 divisors (see below), whose sum is σ = 49795200. Its totient is φ = 7527168.

The previous prime is 20443201. The next prime is 20443249. The reversal of 20443240 is 4234402.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20443249) 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, 27757 + ... + 28483.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 220443240 is an apocalyptic number.

20443240 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 20443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897600).

20443240 is an abundant number, since it is smaller than the sum of its proper divisors (29351960).

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

20443240 is a wasteful number, since it uses less digits than its factorization.

20443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 20443240 is about 4521.4201308881. The cubic root of 20443240 is about 273.4323588584.

Adding to 20443240 its reverse (4234402), we get a palindrome (24677642).

The spelling of 20443240 in words is "twenty million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 727 740 760 1406 1454 1480 2812 2908 3515 3635 5624 5816 7030 7270 13813 14060 14540 26899 27626 28120 29080 53798 55252 69065 107596 110504 134495 138130 215192 268990 276260 511081 537980 552520 1022162 1075960 2044324 2555405 4088648 5110810 10221620 20443240