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18190368 = 2532721289
BaseRepresentation
bin100010101100…
…1000000100000
31021020011111100
41011121000200
514124042433
61445514400
7310421100
oct105310040
937204440
1018190368
11a2a4769
126112a00
1339cb841
1425b7200
1518e4b13
hex1159020

18190368 has 108 divisors (see below), whose sum is σ = 60221070. Its totient is φ = 5193216.

The previous prime is 18190351. The next prime is 18190373. The reversal of 18190368 is 86309181.

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 5143824 = 3612^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13468 + ... + 14756.

Almost surely, 218190368 is an apocalyptic number.

18190368 is a gapful number since it is divisible by the number (18) 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 18190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110535).

18190368 is an abundant number, since it is smaller than the sum of its proper divisors (42030702).

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

18190368 is a wasteful number, since it uses less digits than its factorization.

18190368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18190368 is about 4265.0167643281. The cubic root of 18190368 is about 262.9948000726.

The spelling of 18190368 in words is "eighteen million, one hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1289 1568 1764 2016 2352 2578 3528 3867 4704 5156 7056 7734 9023 10312 11601 14112 15468 18046 20624 23202 27069 30936 36092 41248 46404 54138 61872 63161 72184 81207 92808 108276 123744 126322 144368 162414 185616 189483 216552 252644 288736 324828 371232 378966 433104 505288 568449 649656 757932 866208 1010576 1136898 1299312 1515864 2021152 2273796 2598624 3031728 4547592 6063456 9095184 18190368