Search a number
-
+
14114320 = 2451143373
BaseRepresentation
bin110101110101…
…111000010000
3222120002012121
4311311320100
512103124240
61222304024
7230653423
oct65657020
928502177
1014114320
117a70330
124888014
132c0248c
141c359ba
15138c04a
hexd75e10

14114320 has 80 divisors (see below), whose sum is σ = 36729792. Its totient is φ = 4999680.

The previous prime is 14114311. The next prime is 14114351. The reversal of 14114320 is 2341141.

14114320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14114294 and 14114303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37654 + ... + 38026.

Almost surely, 214114320 is an apocalyptic number.

14114320 is a gapful number since it is divisible by the number (10) 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 14114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364896).

14114320 is an abundant number, since it is smaller than the sum of its proper divisors (22615472).

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

14114320 is a wasteful number, since it uses less digits than its factorization.

14114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 14114320 is about 3756.9029798492. The cubic root of 14114320 is about 241.6684666268.

Adding to 14114320 its reverse (2341141), we get a palindrome (16455461).

The spelling of 14114320 in words is "fourteen million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 373 430 440 473 688 746 860 880 946 1492 1720 1865 1892 2365 2984 3440 3730 3784 4103 4730 5968 7460 7568 8206 9460 14920 16039 16412 18920 20515 29840 32078 32824 37840 41030 64156 65648 80195 82060 128312 160390 164120 176429 256624 320780 328240 352858 641560 705716 882145 1283120 1411432 1764290 2822864 3528580 7057160 14114320