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18074320 = 24511192347
BaseRepresentation
bin100010011110…
…0101011010000
31021000021022021
41010330223100
514111334240
61443221224
7306425545
oct104745320
937007267
1018074320
11a225560
126077814
13398aa84
142586bcc
1518c054a
hex113cad0

18074320 has 160 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 5829120.

The previous prime is 18074293. The next prime is 18074323. The reversal of 18074320 is 2347081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18074323) 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, 384537 + ... + 384583.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 218074320 is an apocalyptic number.

18074320 is a gapful number since it is divisible by the number (10) 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 18074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

18074320 is an abundant number, since it is smaller than the sum of its proper divisors (33350960).

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

18074320 is a wasteful number, since it uses less digits than its factorization.

18074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 18074320 is about 4251.3903608114. The cubic root of 18074320 is about 262.4343358053.

The spelling of 18074320 in words is "eighteen million, seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 23 38 40 44 46 47 55 76 80 88 92 94 95 110 115 152 176 184 188 190 209 220 230 235 253 304 368 376 380 418 437 440 460 470 506 517 752 760 836 874 880 893 920 940 1012 1034 1045 1081 1265 1520 1672 1748 1786 1840 1880 2024 2068 2090 2162 2185 2530 2585 3344 3496 3572 3760 4048 4136 4180 4324 4370 4465 4807 5060 5170 5405 6992 7144 8272 8360 8648 8740 8930 9614 9823 10120 10340 10810 11891 14288 16720 17296 17480 17860 19228 19646 20240 20539 20680 21620 23782 24035 34960 35720 38456 39292 41078 41360 43240 47564 48070 49115 59455 71440 76912 78584 82156 86480 95128 96140 98230 102695 118910 157168 164312 190256 192280 196460 205390 225929 237820 328624 384560 392920 410780 451858 475640 785840 821560 903716 951280 1129645 1643120 1807432 2259290 3614864 4518580 9037160 18074320