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14518080 = 26325712
BaseRepresentation
bin110111011000…
…011101000000
31000022121001200
4313120131000
512204034310
61235101200
7234254523
oct67303500
930277050
1014518080
118216715
124a41800
1330141a5
141cdcbba
15141b9c0
hexdd8740

14518080 has 126 divisors (see below), whose sum is σ = 50649378. Its totient is φ = 3816960.

The previous prime is 14518079. The next prime is 14518093. The reversal of 14518080 is 8081541.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 2903616 = 3408^2 + 1704^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 204445 + ... + 204515.

Almost surely, 214518080 is an apocalyptic number.

14518080 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 14518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25324689).

14518080 is an abundant number, since it is smaller than the sum of its proper divisors (36131298).

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

14518080 is an equidigital number, since it uses as much as digits as its factorization.

14518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 14518080 is about 3810.2598336596. The cubic root of 14518080 is about 243.9512578442.

Multiplying 14518080 by its product of nonzero digits (1280), we get a square (18583142400 = 1363202).

It can be divided in two parts, 145 and 18080, that added together give a square (18225 = 1352).

The spelling of 14518080 in words is "fourteen million, five hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 71 72 80 90 96 120 142 144 160 180 192 213 240 284 288 320 355 360 426 480 568 576 639 710 720 852 960 1065 1136 1278 1420 1440 1704 2130 2272 2556 2840 2880 3195 3408 4260 4544 5041 5112 5680 6390 6816 8520 10082 10224 11360 12780 13632 15123 17040 20164 20448 22720 25205 25560 30246 34080 40328 40896 45369 50410 51120 60492 68160 75615 80656 90738 100820 102240 120984 151230 161312 181476 201640 204480 226845 241968 302460 322624 362952 403280 453690 483936 604920 725904 806560 907380 967872 1209840 1451808 1613120 1814760 2419680 2903616 3629520 4839360 7259040 14518080