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18480420 = 2233574889
BaseRepresentation
bin100011001111…
…1110100100100
31021202220101000
41012133310210
514212333140
61500033300
7313036530
oct106376444
937686330
1018480420
11a482682
126232830
133aa087a
142650bc0
151950a30
hex119fd24

18480420 has 96 divisors (see below), whose sum is σ = 65721600. Its totient is φ = 4223232.

The previous prime is 18480401. The next prime is 18480421. The reversal of 18480420 is 2408481.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18480421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336 + ... + 6224.

It is an arithmetic number, because the mean of its divisors is an integer number (684600).

Almost surely, 218480420 is an apocalyptic number.

18480420 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 18480420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32860800).

18480420 is an abundant number, since it is smaller than the sum of its proper divisors (47241180).

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

18480420 is a wasteful number, since it uses less digits than its factorization.

18480420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18480420 is about 4298.8859021844. The cubic root of 18480420 is about 264.3852845453.

The spelling of 18480420 in words is "eighteen million, four hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 4889 9778 14667 19556 24445 29334 34223 44001 48890 58668 68446 73335 88002 97780 102669 132003 136892 146670 171115 176004 205338 220005 264006 293340 308007 342230 410676 440010 513345 528012 616014 660015 684460 880020 924021 1026690 1232028 1320030 1540035 1848042 2053380 2640060 3080070 3696084 4620105 6160140 9240210 18480420