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14136416 = 257223283
BaseRepresentation
bin110101111011…
…010001100000
3222121012111222
4311323101200
512104331131
61222554212
7231105020
oct65732140
928535458
1014136416
117a85998
124898968
132c0c558
141c3da80
15139387b
hexd7b460

14136416 has 48 divisors (see below), whose sum is σ = 32062464. Its totient is φ = 6009984.

The previous prime is 14136407. The next prime is 14136443. The reversal of 14136416 is 61463141.

14136416 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

14136416 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49811 + ... + 50093.

It is an arithmetic number, because the mean of its divisors is an integer number (667968).

Almost surely, 214136416 is an apocalyptic number.

14136416 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 14136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031232).

14136416 is an abundant number, since it is smaller than the sum of its proper divisors (17926048).

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

14136416 is a wasteful number, since it uses less digits than its factorization.

14136416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 14136416 is about 3759.8425498949. The cubic root of 14136416 is about 241.7945117194.

Adding to 14136416 its reverse (61463141), we get a palindrome (75599557).

The spelling of 14136416 in words is "fourteen million, one hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 283 446 566 892 1132 1561 1784 1981 2264 3122 3568 3962 4528 6244 7136 7924 9056 12488 15848 24976 31696 49952 63109 63392 126218 252436 441763 504872 883526 1009744 1767052 2019488 3534104 7068208 14136416