Search a number
-
+
18111440 = 2453167109
BaseRepresentation
bin100010100010…
…1101111010000
31021002011020002
41011011233100
514114031230
61444105132
7306642014
oct105055720
937064202
1018111440
11a250436
1260951a8
1339a1939
142596544
1518cb545
hex1145bd0

18111440 has 80 divisors (see below), whose sum is σ = 44520960. Its totient is φ = 6842880.

The previous prime is 18111437. The next prime is 18111473. The reversal of 18111440 is 4411181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 166106 + ... + 166214.

It is an arithmetic number, because the mean of its divisors is an integer number (556512).

Almost surely, 218111440 is an apocalyptic number.

18111440 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 18111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260480).

18111440 is an abundant number, since it is smaller than the sum of its proper divisors (26409520).

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

18111440 is a wasteful number, since it uses less digits than its factorization.

18111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 18111440 is about 4255.7537522747. The cubic root of 18111440 is about 262.6138704758.

The spelling of 18111440 in words is "eighteen million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 67 80 109 124 134 155 218 248 268 310 335 436 496 536 545 620 670 872 1072 1090 1240 1340 1744 2077 2180 2480 2680 3379 4154 4360 5360 6758 7303 8308 8720 10385 13516 14606 16616 16895 20770 27032 29212 33232 33790 36515 41540 54064 58424 67580 73030 83080 116848 135160 146060 166160 226393 270320 292120 452786 584240 905572 1131965 1811144 2263930 3622288 4527860 9055720 18111440