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18027840 = 263589211
BaseRepresentation
bin100010011000…
…1010101000000
31020220220112210
41010301111000
514103342330
61442222120
7306143205
oct104612500
936826483
1018027840
11a1a3646
126054940
13397287c
142573cac
1518b18b0
hex1131540

18027840 has 112 divisors (see below), whose sum is σ = 58155840. Its totient is φ = 4730880.

The previous prime is 18027829. The next prime is 18027847. The reversal of 18027840 is 4872081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18027798 and 18027807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18027847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85335 + ... + 85545.

Almost surely, 218027840 is an apocalyptic number.

18027840 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 18027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29077920).

18027840 is an abundant number, since it is smaller than the sum of its proper divisors (40128000).

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

18027840 is a wasteful number, since it uses less digits than its factorization.

18027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 18027840 is about 4245.9203949203. The cubic root of 18027840 is about 262.2091836006.

The spelling of 18027840 in words is "eighteen million, twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 211 240 267 320 356 422 445 480 534 633 712 844 890 960 1055 1068 1266 1335 1424 1688 1780 2110 2136 2532 2670 2848 3165 3376 3560 4220 4272 5064 5340 5696 6330 6752 7120 8440 8544 10128 10680 12660 13504 14240 16880 17088 18779 20256 21360 25320 28480 33760 37558 40512 42720 50640 56337 67520 75116 85440 93895 101280 112674 150232 187790 202560 225348 281685 300464 375580 450696 563370 600928 751160 901392 1126740 1201856 1502320 1802784 2253480 3004640 3605568 4506960 6009280 9013920 18027840