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14113728 = 2632107229
BaseRepresentation
bin110101110101…
…101111000000
3222120001101200
4311311233000
512103114403
61222301200
7230651616
oct65655700
928501350
1014113728
117a6a942
124887800
132c02125
141c356b6
15138bca3
hexd75bc0

14113728 has 84 divisors (see below), whose sum is σ = 41010840. Its totient is φ = 4640256.

The previous prime is 14113663. The next prime is 14113733. The reversal of 14113728 is 82731141.

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 11 ways as a sum of consecutive naturals, for example, 61518 + ... + 61746.

Almost surely, 214113728 is an apocalyptic number.

14113728 is a gapful number since it is divisible by the number (18) 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 14113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505420).

14113728 is an abundant number, since it is smaller than the sum of its proper divisors (26897112).

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

14113728 is a wasteful number, since it uses less digits than its factorization.

14113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 14113728 is about 3756.8241907228. The cubic root of 14113728 is about 241.6650877952.

Adding to 14113728 its reverse (82731141), we get a palindrome (96844869).

It can be divided in two parts, 14113 and 728, that added together give a palindrome (14841).

The spelling of 14113728 in words is "fourteen million, one hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 229 288 321 428 458 576 642 687 856 916 963 1284 1374 1712 1832 1926 2061 2568 2748 3424 3664 3852 4122 5136 5496 6848 7328 7704 8244 10272 10992 14656 15408 16488 20544 21984 24503 30816 32976 43968 49006 61632 65952 73509 98012 131904 147018 196024 220527 294036 392048 441054 588072 784096 882108 1176144 1568192 1764216 2352288 3528432 4704576 7056864 14113728