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14148736 = 27715791
BaseRepresentation
bin110101111110…
…010010000000
3222121211102021
4311332102000
512110224421
61223131224
7231155650
oct65762200
928554367
1014148736
117a94178
1248a3b14
132c15044
141c44360
151397341
hexd7e480

14148736 has 32 divisors (see below), whose sum is σ = 32215680. Its totient is φ = 6063360.

The previous prime is 14148733. The next prime is 14148751. The reversal of 14148736 is 63784141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (14148733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7000 + ... + 8791.

It is an arithmetic number, because the mean of its divisors is an integer number (1006740).

Almost surely, 214148736 is an apocalyptic number.

14148736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14148736 is an abundant number, since it is smaller than the sum of its proper divisors (18066944).

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

14148736 is an equidigital number, since it uses as much as digits as its factorization.

14148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15812 (or 15800 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 14148736 is about 3761.4805595669. The cubic root of 14148736 is about 241.8647332764.

It can be divided in two parts, 14148 and 736, that added together give a square (14884 = 1222).

The spelling of 14148736 in words is "fourteen million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 15791 31582 63164 110537 126328 221074 252656 442148 505312 884296 1010624 1768592 2021248 3537184 7074368 14148736