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20441100 = 22352611117
BaseRepresentation
bin100110111111…
…0100000001100
31102110111220210
41031332200030
520213103400
62010042420
7335514021
oct115764014
942414823
1020441100
11105a1779
126a19410
134309134
142a01548
151bdb950
hex137e80c

20441100 has 72 divisors (see below), whose sum is σ = 60166288. Its totient is φ = 5356800.

The previous prime is 20441077. The next prime is 20441107. The reversal of 20441100 is 114402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20441107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17742 + ... + 18858.

Almost surely, 220441100 is an apocalyptic number.

20441100 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 20441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083144).

20441100 is an abundant number, since it is smaller than the sum of its proper divisors (39725188).

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

20441100 is a wasteful number, since it uses less digits than its factorization.

20441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20441100 is about 4521.1834733839. The cubic root of 20441100 is about 273.4228175518.

Adding to 20441100 its reverse (114402), we get a palindrome (20555502).

The spelling of 20441100 in words is "twenty million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1117 1220 1525 1830 2234 3050 3351 3660 4468 4575 5585 6100 6702 9150 11170 13404 16755 18300 22340 27925 33510 55850 67020 68137 83775 111700 136274 167550 204411 272548 335100 340685 408822 681370 817644 1022055 1362740 1703425 2044110 3406850 4088220 5110275 6813700 10220550 20441100