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14004102 = 23721923109
BaseRepresentation
bin110101011010…
…111110000110
3222100111000110
4311122332012
512041112402
61220053450
7230014200
oct65327606
928314013
1014004102
1179a5542
124834286
132b94268
141c07770
15136956c
hexd5af86

14004102 has 96 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 3592512.

The previous prime is 14004091. The next prime is 14004103. The reversal of 14004102 is 20140041.

It is a super-3 number, since 3×140041023 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128424 + ... + 128532.

It is an arithmetic number, because the mean of its divisors is an integer number (376200).

Almost surely, 214004102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

14004102 is an abundant number, since it is smaller than the sum of its proper divisors (22111098).

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

14004102 is a wasteful number, since it uses less digits than its factorization.

14004102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14004102 is about 3742.2054994348. The cubic root of 14004102 is about 241.0377631750.

Adding to 14004102 its reverse (20140041), we get a palindrome (34144143).

The spelling of 14004102 in words is "fourteen million, four thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 49 57 69 98 109 114 133 138 147 161 218 266 294 322 327 399 437 483 654 763 798 874 931 966 1127 1311 1526 1862 2071 2254 2289 2507 2622 2793 3059 3381 4142 4578 5014 5341 5586 6118 6213 6762 7521 9177 10682 12426 14497 15042 16023 17549 18354 21413 28994 32046 35098 42826 43491 47633 52647 64239 86982 95266 101479 105294 122843 128478 142899 202958 245686 285798 304437 333431 368529 608874 666862 737058 1000293 2000586 2334017 4668034 7002051 14004102