Search a number
-
+
18127312 = 2472331227
BaseRepresentation
bin100010100100…
…1100111010000
31021002221222221
41011021213100
514120033222
61444310424
7310036210
oct105114720
937087887
1018127312
11a261355
1260a2414
1339a8c28
14259c240
1518d10c7
hex11499d0

18127312 has 80 divisors (see below), whose sum is σ = 43425792. Its totient is φ = 7159680.

The previous prime is 18127301. The next prime is 18127313. The reversal of 18127312 is 21372181.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18127313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79743 + ... + 79969.

Almost surely, 218127312 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 18127312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712896).

18127312 is an abundant number, since it is smaller than the sum of its proper divisors (25298480).

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

18127312 is a wasteful number, since it uses less digits than its factorization.

18127312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 18127312 is about 4257.6181134526. The cubic root of 18127312 is about 262.6905621568.

Adding to 18127312 its reverse (21372181), we get a palindrome (39499493).

The spelling of 18127312 in words is "eighteen million, one hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 227 248 322 368 434 454 496 644 713 868 908 1288 1426 1589 1736 1816 2576 2852 3178 3472 3632 4991 5221 5704 6356 7037 9982 10442 11408 12712 14074 19964 20884 25424 28148 36547 39928 41768 49259 56296 73094 79856 83536 98518 112592 146188 161851 197036 292376 323702 394072 584752 647404 788144 1132957 1294808 2265914 2589616 4531828 9063656 18127312