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18354420 = 22325722081
BaseRepresentation
bin100011000000…
…1000011110100
31021112111112100
41012001003310
514144320140
61453222100
7312003300
oct106010364
937474470
1018354420
11a3a6a47
126191930
133a58406
14261ad00
151928530
hex11810f4

18354420 has 108 divisors (see below), whose sum is σ = 64796004. Its totient is φ = 4193280.

The previous prime is 18354389. The next prime is 18354433. The reversal of 18354420 is 2445381.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 11573604 = 2604^2 + 3402^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7780 + ... + 9860.

It is an arithmetic number, because the mean of its divisors is an integer number (599963).

Almost surely, 218354420 is an apocalyptic number.

18354420 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 18354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32398002).

18354420 is an abundant number, since it is smaller than the sum of its proper divisors (46441584).

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

18354420 is a wasteful number, since it uses less digits than its factorization.

18354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 18354420 is about 4284.2058774060. The cubic root of 18354420 is about 263.7830517941.

The spelling of 18354420 in words is "eighteen million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2081 2205 2940 4162 4410 6243 8324 8820 10405 12486 14567 18729 20810 24972 29134 31215 37458 41620 43701 58268 62430 72835 74916 87402 93645 101969 124860 131103 145670 174804 187290 203938 218505 262206 291340 305907 374580 407876 437010 509845 524412 611814 655515 874020 917721 1019690 1223628 1311030 1529535 1835442 2039380 2622060 3059070 3670884 4588605 6118140 9177210 18354420