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14135136 = 253732017
BaseRepresentation
bin110101111010…
…111101100000
3222121010202120
4311322331200
512104311021
61222544240
7231101211
oct65727540
928533676
1014135136
117a84a34
124898080
132c0bab2
141c3d408
1513932c6
hexd7af60

14135136 has 48 divisors (see below), whose sum is σ = 37631664. Its totient is φ = 4644864.

The previous prime is 14135129. The next prime is 14135137. The reversal of 14135136 is 63153141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6000 + ... + 8016.

It is an arithmetic number, because the mean of its divisors is an integer number (783993).

Almost surely, 214135136 is an apocalyptic number.

14135136 is a gapful number since it is divisible by the number (16) 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 14135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815832).

14135136 is an abundant number, since it is smaller than the sum of its proper divisors (23496528).

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

14135136 is a wasteful number, since it uses less digits than its factorization.

14135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2095 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 14135136 is about 3759.6723261476. The cubic root of 14135136 is about 241.7872136340.

Adding to 14135136 its reverse (63153141), we get a palindrome (77288277).

The spelling of 14135136 in words is "fourteen million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2017 2336 3504 4034 6051 7008 8068 12102 16136 24204 32272 48408 64544 96816 147241 193632 294482 441723 588964 883446 1177928 1766892 2355856 3533784 4711712 7067568 14135136