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18122104 = 23711133173
BaseRepresentation
bin100010100100…
…0010101111000
31021002200212001
41011020111320
514114401404
61444230344
7310015060
oct105102570
937080761
1018122104
11a258450
12609b3b4
1339a6750
14259a3a0
1518ce7a4
hex1148578

18122104 has 128 divisors (see below), whose sum is σ = 47738880. Its totient is φ = 6220800.

The previous prime is 18122101. The next prime is 18122107. The reversal of 18122104 is 40122181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18122101) and next prime (18122107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18122101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248212 + ... + 248284.

It is an arithmetic number, because the mean of its divisors is an integer number (372960).

Almost surely, 218122104 is an apocalyptic number.

18122104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23869440).

18122104 is an abundant number, since it is smaller than the sum of its proper divisors (29616776).

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

18122104 is a wasteful number, since it uses less digits than its factorization.

18122104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 18122104 is about 4257.0064599434. The cubic root of 18122104 is about 262.6654026353.

Adding to 18122104 its reverse (40122181), we get a palindrome (58244285).

It can be divided in two parts, 1812 and 2104, that added together give a triangular number (3916 = T88).

The spelling of 18122104 in words is "eighteen million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 73 77 88 91 104 124 143 146 154 182 217 248 286 292 308 341 364 403 434 511 572 584 616 682 728 803 806 868 949 1001 1022 1144 1364 1606 1612 1736 1898 2002 2044 2263 2387 2728 2821 3212 3224 3796 4004 4088 4433 4526 4774 5621 5642 6424 6643 7592 8008 8866 9052 9548 10439 11242 11284 13286 15841 17732 18104 19096 20878 22484 22568 24893 26572 29419 31031 31682 35464 41756 44968 49786 53144 58838 62062 63364 73073 83512 99572 117676 124124 126728 146146 174251 199144 205933 235352 248248 292292 323609 348502 411866 584584 647218 697004 823732 1294436 1394008 1647464 2265263 2588872 4530526 9061052 18122104