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18085704 = 23373133
BaseRepresentation
bin100010011111…
…1011101001000
31021000211220220
41010333131020
514112220304
61443350040
7306504000
oct104773510
937024826
1018085704
11a23306a
126082320
133993000
14258b000
1518c3ad9
hex113f748

18085704 has 128 divisors (see below), whose sum is σ = 57120000. Its totient is φ = 4769856.

The previous prime is 18085699. The next prime is 18085709. The reversal of 18085704 is 40758081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18085699) and next prime (18085709).

It is an ABA number since it can be written as A⋅BA, here for A=3, B=182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18085709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391202 + ... + 1391214.

It is an arithmetic number, because the mean of its divisors is an integer number (446250).

Almost surely, 218085704 is an apocalyptic number.

18085704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18085704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560000).

18085704 is an abundant number, since it is smaller than the sum of its proper divisors (39034296).

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

18085704 is an equidigital number, since it uses as much as digits as its factorization.

18085704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 18085704 is about 4252.7290061794. The cubic root of 18085704 is about 262.4894217959.

The spelling of 18085704 in words is "eighteen million, eighty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 343 364 392 507 546 588 637 676 686 728 1014 1029 1092 1176 1183 1274 1352 1372 1911 2028 2058 2184 2197 2366 2548 2744 3549 3822 4056 4116 4394 4459 4732 5096 6591 7098 7644 8232 8281 8788 8918 9464 13182 13377 14196 15288 15379 16562 17576 17836 24843 26364 26754 28392 30758 33124 35672 46137 49686 52728 53508 57967 61516 66248 92274 99372 107016 107653 115934 123032 173901 184548 198744 215306 231868 322959 347802 369096 430612 463736 645918 695604 753571 861224 1291836 1391208 1507142 2260713 2583672 3014284 4521426 6028568 9042852 18085704