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14055132 = 22371361211
BaseRepresentation
bin110101100111…
…011011011100
3222110002000110
4311213123130
512044231012
61221130020
7230316030
oct65473334
928402013
1014055132
117a2a913
124859910
132bb1560
141c1c1c0
15137973c
hexd676dc

14055132 has 96 divisors (see below), whose sum is σ = 41219584. Its totient is φ = 3628800.

The previous prime is 14055131. The next prime is 14055149. The reversal of 14055132 is 23155041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14055099 and 14055108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055131) 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, 66507 + ... + 66717.

Almost surely, 214055132 is an apocalyptic number.

14055132 is a gapful number since it is divisible by the number (12) 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 14055132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609792).

14055132 is an abundant number, since it is smaller than the sum of its proper divisors (27164452).

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

14055132 is a wasteful number, since it uses less digits than its factorization.

14055132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 14055132 is about 3749.0174712850. The cubic root of 14055132 is about 241.3301833748.

Subtracting 14055132 from its reverse (23155041), we obtain a palindrome (9099909).

The spelling of 14055132 in words is "fourteen million, fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 211 244 273 364 366 422 427 546 633 732 793 844 854 1092 1266 1281 1477 1586 1708 2379 2532 2562 2743 2954 3172 4431 4758 5124 5486 5551 5908 8229 8862 9516 10972 11102 12871 16458 16653 17724 19201 22204 25742 32916 33306 38402 38613 51484 57603 66612 76804 77226 90097 115206 154452 167323 180194 230412 270291 334646 360388 501969 540582 669292 1003938 1081164 1171261 2007876 2342522 3513783 4685044 7027566 14055132