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18297144 = 23332329127
BaseRepresentation
bin100010111001…
…1000100111000
31021102120222000
41011303010320
514141002034
61452101000
7311344305
oct105630470
937376860
1018297144
11a367a08
126164760
133a38318
1426040ac
151916599
hex1173138

18297144 has 128 divisors (see below), whose sum is σ = 55296000. Its totient is φ = 5588352.

The previous prime is 18297143. The next prime is 18297179. The reversal of 18297144 is 44179281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18297099 and 18297108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18297143) 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, 144009 + ... + 144135.

It is an arithmetic number, because the mean of its divisors is an integer number (432000).

Almost surely, 218297144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18297144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648000).

18297144 is an abundant number, since it is smaller than the sum of its proper divisors (36998856).

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

18297144 is a wasteful number, since it uses less digits than its factorization.

18297144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18297144 is about 4277.5161016646. The cubic root of 18297144 is about 263.5083826054.

The spelling of 18297144 in words is "eighteen million, two hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 92 108 116 127 138 174 184 207 216 232 254 261 276 348 381 414 508 522 552 621 667 696 762 783 828 1016 1044 1143 1242 1334 1524 1566 1656 2001 2088 2286 2484 2668 2921 3048 3132 3429 3683 4002 4572 4968 5336 5842 6003 6264 6858 7366 8004 8763 9144 11049 11684 12006 13716 14732 16008 17526 18009 22098 23368 24012 26289 27432 29464 33147 35052 36018 44196 48024 52578 66294 70104 72036 78867 84709 88392 99441 105156 132588 144072 157734 169418 198882 210312 254127 265176 315468 338836 397764 508254 630936 677672 762381 795528 1016508 1524762 2033016 2287143 3049524 4574286 6099048 9148572 18297144