Search a number
-
+
2118312 = 23347467
BaseRepresentation
bin1000000101001010101000
310222121210000
420011022220
51020241222
6113223000
724001560
oct10051250
93877700
102118312
111217579
12861a60
13592251
143d1da0
152bc9ac
hex2052a8

2118312 has 80 divisors (see below), whose sum is σ = 6795360. Its totient is φ = 603936.

The previous prime is 2118301. The next prime is 2118313. The reversal of 2118312 is 2138112.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (2118313) 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 19 ways as a sum of consecutive naturals, for example, 4303 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (84942).

22118312 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 2118312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397680).

2118312 is an abundant number, since it is smaller than the sum of its proper divisors (4677048).

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

2118312 is a wasteful number, since it uses less digits than its factorization.

2118312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2118312 is about 1455.4422008448. The cubic root of 2118312 is about 128.4290614627.

The spelling of 2118312 in words is "two million, one hundred eighteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 467 504 567 648 756 934 1134 1401 1512 1868 2268 2802 3269 3736 4203 4536 5604 6538 8406 9807 11208 12609 13076 16812 19614 25218 26152 29421 33624 37827 39228 50436 58842 75654 78456 88263 100872 117684 151308 176526 235368 264789 302616 353052 529578 706104 1059156 2118312