Search a number
-
+
1318368 = 25331443
BaseRepresentation
bin101000001110111100000
32110222110110
411001313200
5314141433
644131320
714130432
oct5016740
92428413
101318368
11820567
12536b40
133720cc
14264652
151b0963
hex141de0

1318368 has 48 divisors (see below), whose sum is σ = 3580416. Its totient is φ = 424320.

The previous prime is 1318349. The next prime is 1318379. The reversal of 1318368 is 8638131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755 + ... + 3197.

It is an arithmetic number, because the mean of its divisors is an integer number (74592).

21318368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790208).

1318368 is an abundant number, since it is smaller than the sum of its proper divisors (2262048).

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

1318368 is a wasteful number, since it uses less digits than its factorization.

1318368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1318368 is about 1148.2020728077. The cubic root of 1318368 is about 109.6509043021.

It can be divided in two parts, 13 and 18368, that added together give a palindrome (18381).

The spelling of 1318368 in words is "one million, three hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 443 496 744 886 992 1329 1488 1772 2658 2976 3544 5316 7088 10632 13733 14176 21264 27466 41199 42528 54932 82398 109864 164796 219728 329592 439456 659184 1318368