Search a number
-
+
18094720 = 27572577
BaseRepresentation
bin100010100000…
…1101010000000
31021001022021211
41011001222000
514113012340
61443455504
7306542200
oct105015200
937038254
1018094720
11a239916
126087594
133997147
142590400
1518c65ea
hex1141a80

18094720 has 96 divisors (see below), whose sum is σ = 50407380. Its totient is φ = 6193152.

The previous prime is 18094717. The next prime is 18094723. The reversal of 18094720 is 2749081.

It is an interprime number because it is at equal distance from previous prime (18094717) and next prime (18094723).

It can be written as a sum of positive squares in 2 ways, for example, as 16711744 + 1382976 = 4088^2 + 1176^2 .

It is not an unprimeable number, because it can be changed into a prime (18094723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31072 + ... + 31648.

Almost surely, 218094720 is an apocalyptic number.

18094720 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 18094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25203690).

18094720 is an abundant number, since it is smaller than the sum of its proper divisors (32312660).

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

18094720 is an equidigital number, since it uses as much as digits as its factorization.

18094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 18094720 is about 4253.7888993226. The cubic root of 18094720 is about 262.5330328800.

The spelling of 18094720 in words is "eighteen million, ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 577 640 784 896 980 1120 1154 1568 1960 2240 2308 2885 3136 3920 4039 4480 4616 5770 6272 7840 8078 9232 11540 15680 16156 18464 20195 23080 28273 31360 32312 36928 40390 46160 56546 64624 73856 80780 92320 113092 129248 141365 161560 184640 226184 258496 282730 323120 369280 452368 516992 565460 646240 904736 1130920 1292480 1809472 2261840 2584960 3618944 4523680 9047360 18094720