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18078144 = 263713451
BaseRepresentation
bin100010011110…
…1100111000000
31021000110112220
41010331213000
514112000034
61443251040
7306442650
oct104754700
937013486
1018078144
11a228417
126079a80
13398c736
142588360
1518c1749
hex113d9c0

18078144 has 56 divisors (see below), whose sum is σ = 54668928. Its totient is φ = 5164800.

The previous prime is 18078121. The next prime is 18078149. The reversal of 18078144 is 44187081.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18078149) 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, 5382 + ... + 8069.

Almost surely, 218078144 is an apocalyptic number.

18078144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18078144 is an abundant number, since it is smaller than the sum of its proper divisors (36590784).

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

18078144 is a wasteful number, since it uses less digits than its factorization.

18078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13473 (or 13463 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 18078144 is about 4251.8400722511. The cubic root of 18078144 is about 262.4528423224.

The spelling of 18078144 in words is "eighteen million, seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 13451 26902 40353 53804 80706 94157 107608 161412 188314 215216 282471 322824 376628 430432 564942 645648 753256 860864 1129884 1291296 1506512 2259768 2582592 3013024 4519536 6026048 9039072 18078144