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21360144 = 2431334231
BaseRepresentation
bin101000101111…
…0111000010000
31111012012121110
41101132320100
520432011034
62041453320
7346362321
oct121367020
944165543
1021360144
111106a213
1271a1240
13456b550
142ba0448
151d1dde9
hex145ee10

21360144 has 40 divisors (see below), whose sum is σ = 59426752. Its totient is φ = 6572160.

The previous prime is 21360127. The next prime is 21360149. The reversal of 21360144 is 44106312.

It is a self number, because there is not a number n which added to its sum of digits gives 21360144.

It is not an unprimeable number, because it can be changed into a prime (21360149) 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 7 ways as a sum of consecutive naturals, for example, 16492 + ... + 17739.

Almost surely, 221360144 is an apocalyptic number.

21360144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21360144 is an abundant number, since it is smaller than the sum of its proper divisors (38066608).

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

21360144 is a wasteful number, since it uses less digits than its factorization.

21360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34255 (or 34249 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21360144 is about 4621.7035820139. The cubic root of 21360144 is about 277.4606453402.

Adding to 21360144 its reverse (44106312), we get a palindrome (65466456).

The spelling of 21360144 in words is "twenty-one million, three hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 34231 68462 102693 136924 205386 273848 410772 445003 547696 821544 890006 1335009 1643088 1780012 2670018 3560024 5340036 7120048 10680072 21360144