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18084864 = 21037292
BaseRepresentation
bin100010011111…
…1010000000000
31021000210202210
41010333100000
514112203424
61443342120
7306501360
oct104772000
937023683
1018084864
11a232476
126081940
133992805
14258a9a0
1518c3729
hex113f400

18084864 has 132 divisors (see below), whose sum is σ = 57053984. Its totient is φ = 4988928.

The previous prime is 18084851. The next prime is 18084919. The reversal of 18084864 is 46848081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623602 + ... + 623630.

Almost surely, 218084864 is an apocalyptic number.

18084864 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 18084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28526992).

18084864 is an abundant number, since it is smaller than the sum of its proper divisors (38969120).

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

18084864 is an equidigital number, since it uses as much as digits as its factorization.

18084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 18084864 is about 4252.6302449190. The cubic root of 18084864 is about 262.4853579134.

The spelling of 18084864 in words is "eighteen million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 512 609 672 696 768 812 841 896 928 1024 1218 1344 1392 1536 1624 1682 1792 1856 2436 2523 2688 2784 3072 3248 3364 3584 3712 4872 5046 5376 5568 5887 6496 6728 7168 7424 9744 10092 10752 11136 11774 12992 13456 14848 17661 19488 20184 21504 22272 23548 25984 26912 29696 35322 38976 40368 44544 47096 51968 53824 70644 77952 80736 89088 94192 103936 107648 141288 155904 161472 188384 207872 215296 282576 311808 322944 376768 430592 565152 623616 645888 753536 861184 1130304 1291776 1507072 2260608 2583552 3014144 4521216 6028288 9042432 18084864