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14251328 = 267132447
BaseRepresentation
bin110110010111…
…010101000000
3222211001010222
4312113111000
512122020303
61225242212
7232064030
oct66272500
928731128
1014251328
118054263
124933368
132c4c950
141c6d8c0
1513b7938
hexd97540

14251328 has 56 divisors (see below), whose sum is σ = 34820352. Its totient is φ = 5635584.

The previous prime is 14251319. The next prime is 14251343. The reversal of 14251328 is 82315241.

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14251297 and 14251306.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4601 + ... + 7047.

It is an arithmetic number, because the mean of its divisors is an integer number (621792).

Almost surely, 214251328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410176).

14251328 is an abundant number, since it is smaller than the sum of its proper divisors (20569024).

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

14251328 is a wasteful number, since it uses less digits than its factorization.

14251328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2469 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 14251328 is about 3775.0931114345. The cubic root of 14251328 is about 242.4479103054.

Adding to 14251328 its reverse (82315241), we get a palindrome (96566569).

The spelling of 14251328 in words is "fourteen million, two hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2447 2912 4894 5824 9788 17129 19576 31811 34258 39152 63622 68516 78304 127244 137032 156608 222677 254488 274064 445354 508976 548128 890708 1017952 1096256 1781416 2035904 3562832 7125664 14251328