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14172928 = 28711719
BaseRepresentation
bin110110000100…
…001100000000
3222200001121021
4312010030000
512112013203
61223435224
7231316330
oct66041400
928601537
1014172928
118000370
1248b5b14
132c23063
141c4d0c0
15139e5bd
hexd84300

14172928 has 72 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 5514240.

The previous prime is 14172919. The next prime is 14172937. The reversal of 14172928 is 82927141.

It is an interprime number because it is at equal distance from previous prime (14172919) and next prime (14172937).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14172893 and 14172902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19353 + ... + 20071.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 214172928 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 14172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

14172928 is an abundant number, since it is smaller than the sum of its proper divisors (21147392).

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

14172928 is an equidigital number, since it uses as much as digits as its factorization.

14172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 14172928 is about 3764.6949411606. The cubic root of 14172928 is about 242.0025043568.

The spelling of 14172928 in words is "fourteen million, one hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 719 896 1232 1408 1438 1792 2464 2816 2876 4928 5033 5752 7909 9856 10066 11504 15818 19712 20132 23008 31636 40264 46016 55363 63272 80528 92032 110726 126544 161056 184064 221452 253088 322112 442904 506176 644224 885808 1012352 1288448 1771616 2024704 3543232 7086464 14172928