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18823840 = 25576
BaseRepresentation
bin100011111001…
…1101010100000
31022102100110021
41013303222200
514304330330
61511243224
7316000000
oct107635240
938370407
1018823840
11a6976a2
126379514
133b90c89
142700000
1519bc67a
hex11f3aa0

18823840 has 84 divisors (see below), whose sum is σ = 51883146. Its totient is φ = 6453888.

The previous prime is 18823799. The next prime is 18823841. The reversal of 18823840 is 4832881.

It can be written as a sum of positive squares in only one way, i.e., 16941456 + 1882384 = 4116^2 + 1372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18823796 and 18823805.

It is not an unprimeable number, because it can be changed into a prime (18823841) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2689117 + ... + 2689123.

Almost surely, 218823840 is an apocalyptic number.

18823840 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 18823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25941573).

18823840 is an abundant number, since it is smaller than the sum of its proper divisors (33059306).

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

18823840 is an frugal number, since it uses more digits than its factorization.

18823840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 18823840 is about 4338.6449497510. The cubic root of 18823840 is about 266.0129264263.

The spelling of 18823840 in words is "eighteen million, eight hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2401 2744 3430 3920 4802 5488 6860 7840 9604 10976 12005 13720 16807 19208 24010 27440 33614 38416 48020 54880 67228 76832 84035 96040 117649 134456 168070 192080 235298 268912 336140 384160 470596 537824 588245 672280 941192 1176490 1344560 1882384 2352980 2689120 3764768 4705960 9411920 18823840