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14016132 = 22331367149
BaseRepresentation
bin110101011101…
…111010000100
3222101002112000
4311131322010
512042004012
61220225300
7230064234
oct65357204
928332460
1014016132
117a03589
12483b230
132b99890
141c0bcc4
15136cddc
hexd5de84

14016132 has 96 divisors (see below), whose sum is σ = 39984000. Its totient is φ = 4219776.

The previous prime is 14016113. The next prime is 14016139. The reversal of 14016132 is 23161041.

It is a happy number.

It is a super-4 number, since 4×140161324 (a number of 30 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14016139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93994 + ... + 94142.

It is an arithmetic number, because the mean of its divisors is an integer number (416500).

Almost surely, 214016132 is an apocalyptic number.

14016132 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 14016132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992000).

14016132 is an abundant number, since it is smaller than the sum of its proper divisors (25967868).

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

14016132 is a wasteful number, since it uses less digits than its factorization.

14016132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

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

The square root of 14016132 is about 3743.8124953048. The cubic root of 14016132 is about 241.1067633003.

Adding to 14016132 its reverse (23161041), we get a palindrome (37177173).

The spelling of 14016132 in words is "fourteen million, sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 149 156 201 234 268 298 351 402 447 468 596 603 702 804 871 894 1206 1341 1404 1742 1788 1809 1937 2412 2613 2682 3484 3618 3874 4023 5226 5364 5811 7236 7748 7839 8046 9983 10452 11622 15678 16092 17433 19966 23244 23517 29949 31356 34866 39932 47034 52299 59898 69732 89847 94068 104598 119796 129779 179694 209196 259558 269541 359388 389337 519116 539082 778674 1078164 1168011 1557348 2336022 3504033 4672044 7008066 14016132