Search a number
-
+
18053568 = 2632132411
BaseRepresentation
bin100010011011…
…1100111000000
31020222012211200
41010313213000
514110203233
61442541200
7306311211
oct104674700
936865750
1018053568
11a210a05
126067800
1339814b0
14257d408
1518b9313
hex11379c0

18053568 has 84 divisors (see below), whose sum is σ = 55750968. Its totient is φ = 5552640.

The previous prime is 18053533. The next prime is 18053599. The reversal of 18053568 is 86535081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6283 + ... + 8693.

It is an arithmetic number, because the mean of its divisors is an integer number (663702).

Almost surely, 218053568 is an apocalyptic number.

18053568 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 18053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27875484).

18053568 is an abundant number, since it is smaller than the sum of its proper divisors (37697400).

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

18053568 is a wasteful number, since it uses less digits than its factorization.

18053568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 18053568 is about 4248.9490465290. The cubic root of 18053568 is about 262.3338594950. Note that the first 3 decimals are identical.

The spelling of 18053568 in words is "eighteen million, fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2411 2496 3744 4822 7233 7488 9644 14466 19288 21699 28932 31343 38576 43398 57864 62686 77152 86796 94029 115728 125372 154304 173592 188058 231456 250744 282087 347184 376116 462912 501488 564174 694368 752232 1002976 1128348 1388736 1504464 2005952 2256696 3008928 4513392 6017856 9026784 18053568