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18090240 = 28357673
BaseRepresentation
bin100010100000…
…0100100000000
31021001002010220
41011000210000
514112341430
61443423040
7306523140
oct105004400
937032126
1018090240
11a236513
126084a80
1339950ac
14258c920
1518c5110
hex1140900

18090240 has 144 divisors (see below), whose sum is σ = 66127488. Its totient is φ = 4128768.

The previous prime is 18090197. The next prime is 18090257. The reversal of 18090240 is 4209081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18090240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26544 + ... + 27216.

Almost surely, 218090240 is an apocalyptic number.

18090240 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 18090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33063744).

18090240 is an abundant number, since it is smaller than the sum of its proper divisors (48037248).

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

18090240 is an equidigital number, since it uses as much as digits as its factorization.

18090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 18090240 is about 4253.2622773584. The cubic root of 18090240 is about 262.5113645873.

The spelling of 18090240 in words is "eighteen million, ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 673 768 840 896 960 1120 1280 1344 1346 1680 1792 1920 2019 2240 2688 2692 3360 3365 3840 4038 4480 4711 5376 5384 6720 6730 8076 8960 9422 10095 10768 13440 13460 14133 16152 18844 20190 21536 23555 26880 26920 28266 32304 37688 40380 43072 47110 53840 56532 64608 70665 75376 80760 86144 94220 107680 113064 129216 141330 150752 161520 172288 188440 215360 226128 258432 282660 301504 323040 376880 430720 452256 516864 565320 603008 646080 753760 861440 904512 1130640 1206016 1292160 1507520 1809024 2261280 2584320 3015040 3618048 4522560 6030080 9045120 18090240