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18097920 = 283251571
BaseRepresentation
bin100010100001…
…0011100000000
31021001110200100
41011002130000
514113113140
61443522400
7306554421
oct105023400
937043610
1018097920
11a241265
126089400
133998739
142591648
1518c7530
hex1142700

18097920 has 108 divisors (see below), whose sum is σ = 62656776. Its totient is φ = 4823040.

The previous prime is 18097909. The next prime is 18097927. The reversal of 18097920 is 2979081.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18097927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10735 + ... + 12305.

Almost surely, 218097920 is an apocalyptic number.

18097920 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 18097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328388).

18097920 is an abundant number, since it is smaller than the sum of its proper divisors (44558856).

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

18097920 is a wasteful number, since it uses less digits than its factorization.

18097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 18097920 is about 4254.1650179559. The cubic root of 18097920 is about 262.5485080423.

The spelling of 18097920 in words is "eighteen million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1571 1920 2304 2880 3142 3840 4713 5760 6284 7855 9426 11520 12568 14139 15710 18852 23565 25136 28278 31420 37704 47130 50272 56556 62840 70695 75408 94260 100544 113112 125680 141390 150816 188520 201088 226224 251360 282780 301632 377040 402176 452448 502720 565560 603264 754080 904896 1005440 1131120 1206528 1508160 1809792 2010880 2262240 3016320 3619584 4524480 6032640 9048960 18097920