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18148116 = 22371983137
BaseRepresentation
bin100010100111…
…0101100010100
31021011000112110
41011032230110
514121214431
61444551020
7310153650
oct105165424
937130473
1018148116
11a275a48
1260b2470
1339b553c
1425a5a60
1518d7346
hex114eb14

18148116 has 96 divisors (see below), whose sum is σ = 51932160. Its totient is φ = 4817664.

The previous prime is 18148111. The next prime is 18148133. The reversal of 18148116 is 61184181.

It is a super-2 number, since 2×181481162 = 658708228698912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18148111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 132400 + ... + 132536.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 218148116 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 18148116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966080).

18148116 is an abundant number, since it is smaller than the sum of its proper divisors (33784044).

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

18148116 is a wasteful number, since it uses less digits than its factorization.

18148116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its digits is 1536, while the sum is 30.

The square root of 18148116 is about 4260.0605629498. The cubic root of 18148116 is about 262.7910169315.

The spelling of 18148116 in words is "eighteen million, one hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 83 84 114 133 137 166 228 249 266 274 332 399 411 498 532 548 581 798 822 959 996 1162 1577 1596 1644 1743 1918 2324 2603 2877 3154 3486 3836 4731 5206 5754 6308 6972 7809 9462 10412 11039 11371 11508 15618 18221 18924 22078 22742 31236 33117 34113 36442 44156 45484 54663 66234 68226 72884 79597 109326 132468 136452 159194 216049 218652 238791 318388 432098 477582 648147 864196 955164 1296294 1512343 2592588 3024686 4537029 6049372 9074058 18148116