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20013750 = 23354593
BaseRepresentation
bin100110001011…
…0001010110110
31101122210201000
41030112022312
520110420000
61552544130
7332054061
oct114261266
941583630
1020013750
111032a699
126852046
1341b9773
14292d8d8
151b55000
hex13162b6

20013750 has 80 divisors (see below), whose sum is σ = 55669680. Its totient is φ = 5328000.

The previous prime is 20013739. The next prime is 20013751. The reversal of 20013750 is 5731002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33454 + ... + 34046.

It is an arithmetic number, because the mean of its divisors is an integer number (695871).

Almost surely, 220013750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834840).

20013750 is an abundant number, since it is smaller than the sum of its proper divisors (35655930).

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

20013750 is an equidigital number, since it uses as much as digits as its factorization.

20013750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 20013750 is about 4473.6729876020. The cubic root of 20013750 is about 271.5039528132.

Adding to 20013750 its reverse (5731002), we get a palindrome (25744752).

The spelling of 20013750 in words is "twenty million, thirteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 593 625 675 750 1125 1186 1250 1350 1779 1875 2250 2965 3375 3558 3750 5337 5625 5930 6750 8895 10674 11250 14825 16011 16875 17790 26685 29650 32022 33750 44475 53370 74125 80055 88950 133425 148250 160110 222375 266850 370625 400275 444750 667125 741250 800550 1111875 1334250 2001375 2223750 3335625 4002750 6671250 10006875 20013750