Search a number
-
+
18122988 = 22313235051
BaseRepresentation
bin100010100100…
…0100011101100
31021002202001210
41011020203230
514114413423
61444234420
7310020462
oct105104354
937082053
1018122988
11a259084
12609ba10
1339a6c80
14259a832
1518ceb93
hex11488ec

18122988 has 48 divisors (see below), whose sum is σ = 47529216. Its totient is φ = 5332800.

The previous prime is 18122947. The next prime is 18122989. The reversal of 18122988 is 88922181.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (18122989) 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, 1063 + ... + 6113.

It is an arithmetic number, because the mean of its divisors is an integer number (990192).

Almost surely, 218122988 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 18122988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764608).

18122988 is an abundant number, since it is smaller than the sum of its proper divisors (29406228).

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

18122988 is a wasteful number, since it uses less digits than its factorization.

18122988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5092 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 18122988 is about 4257.1102875072. The cubic root of 18122988 is about 262.6696735235.

It can be divided in two parts, 18122 and 988, that added together give a triangular number (19110 = T195).

The spelling of 18122988 in words is "eighteen million, one hundred twenty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 5051 10102 15153 20204 30306 60612 65663 116173 131326 196989 232346 262652 348519 393978 464692 697038 787956 1394076 1510249 3020498 4530747 6040996 9061494 18122988