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18068064 = 2537223167
BaseRepresentation
bin100010011101…
…1001001100000
31020222221201120
41010323021200
514111134224
61443132240
7306401400
oct104731140
936887646
1018068064
11a220893
126074080
133987c81
142584800
1518bd779
hex113b260

18068064 has 144 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 4908288.

The previous prime is 18068033. The next prime is 18068137. The reversal of 18068064 is 46086081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108109 + ... + 108275.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 218068064 is an apocalyptic number.

18068064 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 18068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

18068064 is an abundant number, since it is smaller than the sum of its proper divisors (39847584).

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

18068064 is a wasteful number, since it uses less digits than its factorization.

18068064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 18068064 is about 4250.6545378330. The cubic root of 18068064 is about 262.4040538239.

It can be divided in two parts, 1806 and 8064, that added together give a triangular number (9870 = T140).

The spelling of 18068064 in words is "eighteen million, sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 167 168 184 196 224 276 294 322 334 336 368 392 483 501 552 588 644 668 672 736 784 966 1002 1104 1127 1169 1176 1288 1336 1568 1932 2004 2208 2254 2338 2352 2576 2672 3381 3507 3841 3864 4008 4508 4676 4704 5152 5344 6762 7014 7682 7728 8016 8183 9016 9352 11523 13524 14028 15364 15456 16032 16366 18032 18704 23046 24549 26887 27048 28056 30728 32732 36064 37408 46092 49098 53774 54096 56112 61456 65464 80661 92184 98196 107548 108192 112224 122912 130928 161322 184368 188209 196392 215096 261856 322644 368736 376418 392784 430192 564627 645288 752836 785568 860384 1129254 1290576 1505672 2258508 2581152 3011344 4517016 6022688 9034032 18068064