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18394480 = 2451323769
BaseRepresentation
bin100011000101…
…0110101110000
31021121112111001
41012022311300
514202110410
61454131344
7312231136
oct106126560
937545431
1018394480
11a424055
1261b0b54
133a70710
14262b756
15193533a
hex118ad70

18394480 has 80 divisors (see below), whose sum is σ = 48121920. Its totient is φ = 6488064.

The previous prime is 18394469. The next prime is 18394499. The reversal of 18394480 is 8449381.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 23536 + ... + 24304.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 218394480 is an apocalyptic number.

18394480 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 18394480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060960).

18394480 is an abundant number, since it is smaller than the sum of its proper divisors (29727440).

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

18394480 is a wasteful number, since it uses less digits than its factorization.

18394480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 18394480 is about 4288.8786413234. The cubic root of 18394480 is about 263.9748215963.

The spelling of 18394480 in words is "eighteen million, three hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 769 920 1040 1196 1495 1538 1840 2392 2990 3076 3845 4784 5980 6152 7690 9997 11960 12304 15380 17687 19994 23920 30760 35374 39988 49985 61520 70748 79976 88435 99970 141496 159952 176870 199940 229931 282992 353740 399880 459862 707480 799760 919724 1149655 1414960 1839448 2299310 3678896 4598620 9197240 18394480