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20484144 = 243347417
BaseRepresentation
bin100111000100…
…1000000110000
31102112200222000
41032021000300
520220443034
62011014000
7336053352
oct116110060
942480860
1020484144
111062104a
126a3a300
1343228c5
142a130d2
151be9599
hex1389030

20484144 has 40 divisors (see below), whose sum is σ = 58798320. Its totient is φ = 6827904.

The previous prime is 20484143. The next prime is 20484161. The reversal of 20484144 is 44148402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20484143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23277 + ... + 24140.

It is an arithmetic number, because the mean of its divisors is an integer number (1469958).

Almost surely, 220484144 is an apocalyptic number.

20484144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20484144 is an abundant number, since it is smaller than the sum of its proper divisors (38314176).

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

20484144 is a wasteful number, since it uses less digits than its factorization.

20484144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47434 (or 47422 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 20484144 is about 4525.9412280762. The cubic root of 20484144 is about 273.6146037142.

It can be divided in two parts, 204 and 84144, that added together give a palindrome (84348).

The spelling of 20484144 in words is "twenty million, four hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 47417 94834 142251 189668 284502 379336 426753 569004 758672 853506 1138008 1280259 1707012 2276016 2560518 3414024 5121036 6828048 10242072 20484144