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14268032 = 27177983
BaseRepresentation
bin110110011011…
…011010000000
3222211220001122
4312123122000
512123034112
61225451412
7232163522
oct66333200
928756048
1014268032
118065869
124940b68
132c5742c
141c75a12
1513bc872
hexd9b680

14268032 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 6549504.

The previous prime is 14267999. The next prime is 14268043. The reversal of 14268032 is 23086241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 14267992 and 14268010.

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, 171863 + ... + 171945.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 214268032 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 14268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

14268032 is an abundant number, since it is smaller than the sum of its proper divisors (16576768).

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

14268032 is an equidigital number, since it uses as much as digits as its factorization.

14268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14268032 is about 3777.3048592879. The cubic root of 14268032 is about 242.5425978238.

The spelling of 14268032 in words is "fourteen million, two hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 83 128 136 158 166 272 316 332 544 632 664 1088 1264 1328 1343 1411 2176 2528 2656 2686 2822 5056 5312 5372 5644 6557 10112 10624 10744 11288 13114 21488 22576 26228 42976 45152 52456 85952 90304 104912 111469 171904 180608 209824 222938 419648 445876 839296 891752 1783504 3567008 7134016 14268032