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18942300 = 223252131619
BaseRepresentation
bin100100001000…
…0100101011100
31022122100221200
41020100211130
514322123200
61513555500
7320002236
oct110204534
938570850
1018942300
11a7686a3
126415b90
133c02b80
142731256
1519e2800
hex121095c

18942300 has 108 divisors (see below), whose sum is σ = 63980280. Its totient is φ = 4659840.

The previous prime is 18942293. The next prime is 18942311. The reversal of 18942300 is 324981.

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, 10891 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 218942300 is an apocalyptic number.

18942300 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 18942300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990140).

18942300 is an abundant number, since it is smaller than the sum of its proper divisors (45037980).

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

18942300 is a wasteful number, since it uses less digits than its factorization.

18942300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18942300 is about 4352.2752670299. The cubic root of 18942300 is about 266.5697738262.

The spelling of 18942300 in words is "eighteen million, nine hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1619 1950 2340 2925 3238 3900 4857 5850 6476 8095 9714 11700 14571 16190 19428 21047 24285 29142 32380 40475 42094 48570 58284 63141 72855 80950 84188 97140 105235 121425 126282 145710 161900 189423 210470 242850 252564 291420 315705 364275 378846 420940 485700 526175 631410 728550 757692 947115 1052350 1262820 1457100 1578525 1894230 2104700 3157050 3788460 4735575 6314100 9471150 18942300