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20144241 = 3313291979
BaseRepresentation
bin100110011011…
…0000001110001
31101220102201000
41030312001301
520124103431
61555432213
7333136365
oct114660161
941812630
1020144241
1110409737
1268b5669
134233c90
1429652a5
151b7d9e6
hex1336071

20144241 has 32 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 11962944.

The previous prime is 20144239. The next prime is 20144249. The reversal of 20144241 is 14244102.

It is not a de Polignac number, because 20144241 - 21 = 20144239 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20144249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9190 + ... + 11168.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 220144241 is an apocalyptic number.

It is an amenable number.

20144241 is a deficient number, since it is larger than the sum of its proper divisors (13119759).

20144241 is a wasteful number, since it uses less digits than its factorization.

20144241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20144241 is about 4488.2336169143. The cubic root of 20144241 is about 272.0927496916.

Adding to 20144241 its reverse (14244102), we get a palindrome (34388343).

The spelling of 20144241 in words is "twenty million, one hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 13 27 29 39 87 117 261 351 377 783 1131 1979 3393 5937 10179 17811 25727 53433 57391 77181 172173 231543 516519 694629 746083 1549557 2238249 6714747 20144241