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14601006 = 2337192107
BaseRepresentation
bin110111101100…
…101100101110
31000110210211000
4313230230232
512214213011
61240541130
7235051350
oct67545456
930423730
1014601006
118272a52
124a817a6
133042b64
141d210d0
151436356
hexdecb2e

14601006 has 96 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 3915216.

The previous prime is 14600983. The next prime is 14601019. The reversal of 14601006 is 60010641.

14601006 = T468 + T469 + ... + T574.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14601006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136405 + ... + 136511.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 214601006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14601006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

14601006 is an abundant number, since it is smaller than the sum of its proper divisors (24901074).

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

14601006 is a wasteful number, since it uses less digits than its factorization.

14601006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14601006 is about 3821.1262737575. The cubic root of 14601006 is about 244.4148523559.

Adding to 14601006 its reverse (60010641), we get a palindrome (74611647).

The spelling of 14601006 in words is "fourteen million, six hundred one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 107 114 126 133 171 189 214 266 321 342 361 378 399 513 642 722 749 798 963 1026 1083 1197 1498 1926 2033 2166 2247 2394 2527 2889 3249 3591 4066 4494 5054 5778 6099 6498 6741 7182 7581 9747 12198 13482 14231 15162 18297 19494 20223 22743 28462 36594 38627 40446 42693 45486 54891 68229 77254 85386 109782 115881 128079 136458 231762 256158 270389 347643 384237 540778 695286 768474 811167 1042929 1622334 2085858 2433501 4867002 7300503 14601006