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14106500 = 225389317
BaseRepresentation
bin110101110011…
…111110000100
3222112200110222
4311303332010
512102402000
61222203512
7230621552
oct65637604
928480428
1014106500
117a65471
124883598
132bcba55
141c32bd2
151389a85
hexd73f84

14106500 has 48 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 5561600.

The previous prime is 14106467. The next prime is 14106511. The reversal of 14106500 is 560141.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10549504 + 3556996 = 3248^2 + 1886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44342 + ... + 44658.

It is an arithmetic number, because the mean of its divisors is an integer number (651105).

Almost surely, 214106500 is an apocalyptic number.

14106500 is a gapful number since it is divisible by the number (10) 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 14106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626520).

14106500 is an abundant number, since it is smaller than the sum of its proper divisors (17146540).

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

14106500 is a wasteful number, since it uses less digits than its factorization.

14106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 14106500 is about 3755.8620847949. The cubic root of 14106500 is about 241.6238264662.

Adding to 14106500 its reverse (560141), we get a palindrome (14666641).

The spelling of 14106500 in words is "fourteen million, one hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 317 356 445 500 634 890 1268 1585 1780 2225 3170 4450 6340 7925 8900 11125 15850 22250 28213 31700 39625 44500 56426 79250 112852 141065 158500 282130 564260 705325 1410650 2821300 3526625 7053250 14106500