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18180096 = 211311269
BaseRepresentation
bin100010101011…
…0100000000000
31021012122101220
41011112200000
514123230341
61445355040
7310346124
oct105264000
937178356
1018180096
11a297a80
126108a80
1339c6c6c
1425b3584
1518e1a66
hex1156800

18180096 has 96 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 5488640.

The previous prime is 18180077. The next prime is 18180161. The reversal of 18180096 is 69008181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 67450 + ... + 67718.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 218180096 is an apocalyptic number.

18180096 is a gapful number since it is divisible by the number (16) 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 18180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

18180096 is an abundant number, since it is smaller than the sum of its proper divisors (34891104).

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

18180096 is a wasteful number, since it uses less digits than its factorization.

18180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 18180096 is about 4263.8123786114. The cubic root of 18180096 is about 262.9452868495.

The spelling of 18180096 in words is "eighteen million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 269 352 384 512 528 538 704 768 807 1024 1056 1076 1408 1536 1614 2048 2112 2152 2816 2959 3072 3228 4224 4304 5632 5918 6144 6456 8448 8608 8877 11264 11836 12912 16896 17216 17754 22528 23672 25824 33792 34432 35508 47344 51648 67584 68864 71016 94688 103296 137728 142032 189376 206592 275456 284064 378752 413184 550912 568128 757504 826368 1136256 1515008 1652736 2272512 3030016 4545024 6060032 9090048 18180096