Search a number
-
+
103660088 = 2373371021
BaseRepresentation
bin1100010110110…
…11101000111000
321020001110220112
412023123220320
5203014110323
614141443452
72366045000
oct613335070
9236043815
10103660088
11535713a4
122a870588
131862573c
14daa5000
159179178
hex62dba38

103660088 has 64 divisors (see below), whose sum is σ = 233016000. Its totient is φ = 43182720.

The previous prime is 103660031. The next prime is 103660129. The reversal of 103660088 is 880066301.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101018 + ... + 102038.

It is an arithmetic number, because the mean of its divisors is an integer number (3640875).

Almost surely, 2103660088 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 103660088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116508000).

103660088 is an abundant number, since it is smaller than the sum of its proper divisors (129355912).

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

103660088 is a wasteful number, since it uses less digits than its factorization.

103660088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 103660088 is about 10181.3598305924. The cubic root of 103660088 is about 469.7540406149.

The spelling of 103660088 in words is "one hundred three million, six hundred sixty thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 343 392 518 686 1021 1036 1372 1813 2042 2072 2744 3626 4084 7147 7252 8168 12691 14294 14504 25382 28588 37777 50029 50764 57176 75554 100058 101528 151108 200116 264439 302216 350203 400232 528878 700406 1057756 1400812 1851073 2115512 2801624 3702146 7404292 12957511 14808584 25915022 51830044 103660088