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14106132 = 22321941503
BaseRepresentation
bin110101110011…
…111000010100
3222112122222100
4311303320110
512102344012
61222202100
7230620515
oct65637024
928478870
1014106132
117a65167
124883330
132bcb831
141c32a0c
1513898dc
hexd73e14

14106132 has 72 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 4337280.

The previous prime is 14106121. The next prime is 14106143. The reversal of 14106132 is 23160141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14106121) and next prime (14106143).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27793 + ... + 28295.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 214106132 is an apocalyptic number.

14106132 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 14106132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

14106132 is an abundant number, since it is smaller than the sum of its proper divisors (24419628).

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

14106132 is a wasteful number, since it uses less digits than its factorization.

14106132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

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

The square root of 14106132 is about 3755.8130943911. The cubic root of 14106132 is about 241.6217253463.

Adding to 14106132 its reverse (23160141), we get a palindrome (37266273).

The spelling of 14106132 in words is "fourteen million, one hundred six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 503 684 738 779 1006 1476 1509 1558 2012 2337 3018 3116 4527 4674 6036 7011 9054 9348 9557 14022 18108 19114 20623 28044 28671 38228 41246 57342 61869 82492 86013 114684 123738 172026 185607 247476 344052 371214 391837 742428 783674 1175511 1567348 2351022 3526533 4702044 7053066 14106132