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13114304 = 26773401
BaseRepresentation
bin110010000001…
…101111000000
3220200021102222
4302001233000
511324124204
61145030212
7216320060
oct62015700
926607388
1013114304
117447a75
124485368
132942258
141a553a0
151240abe
hexc81bc0

13114304 has 56 divisors (see below), whose sum is σ = 30223968. Its totient is φ = 5529600.

The previous prime is 13114291. The next prime is 13114331. The reversal of 13114304 is 40341131.

It is a tau number, because it is divible by the number of its divisors (56).

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, 32504 + ... + 32904.

Almost surely, 213114304 is an apocalyptic number.

13114304 is a gapful number since it is divisible by the number (14) 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 13114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111984).

13114304 is an abundant number, since it is smaller than the sum of its proper divisors (17109664).

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

13114304 is an equidigital number, since it uses as much as digits as its factorization.

13114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13114304 is about 3621.3676974315. The cubic root of 13114304 is about 235.8206048338.

Adding to 13114304 its reverse (40341131), we get a palindrome (53455435).

The spelling of 13114304 in words is "thirteen million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 401 448 511 584 802 1022 1168 1604 2044 2336 2807 3208 4088 4672 5614 6416 8176 11228 12832 16352 22456 25664 29273 32704 44912 58546 89824 117092 179648 204911 234184 409822 468368 819644 936736 1639288 1873472 3278576 6557152 13114304