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18740106 = 2337114507
BaseRepresentation
bin100011101111…
…1001110001010
31022021002121000
41013133032022
514244140411
61505355430
7315200610
oct107371612
938232530
1018740106
11a63a7a0
126338b76
133b61b28
1426bb6b0
1519a2956
hex11df38a

18740106 has 64 divisors (see below), whose sum is σ = 51932160. Its totient is φ = 4866480.

The previous prime is 18740083. The next prime is 18740123. The reversal of 18740106 is 60104781.

It is a happy number.

It is a super-3 number, since 3×187401063 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 18740106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905 + ... + 6411.

It is an arithmetic number, because the mean of its divisors is an integer number (811440).

Almost surely, 218740106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18740106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966080).

18740106 is an abundant number, since it is smaller than the sum of its proper divisors (33192054).

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

18740106 is a wasteful number, since it uses less digits than its factorization.

18740106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18740106 is about 4328.9844074563. The cubic root of 18740106 is about 265.6179054345.

Adding to 18740106 its reverse (60104781), we get a palindrome (78844887).

The spelling of 18740106 in words is "eighteen million, seven hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 4507 9014 13521 27042 31549 40563 49577 63098 81126 94647 99154 121689 148731 189294 243378 283941 297462 347039 446193 567882 694078 851823 892386 1041117 1338579 1703646 2082234 2677158 3123351 6246702 9370053 18740106