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14092128 = 2532167293
BaseRepresentation
bin110101110000…
…011101100000
3222111221202200
4311300131200
512101422003
61222013200
7230531631
oct65603540
928457680
1014092128
117a55696
124877200
132bc534b
141c2b888
1513856a3
hexd70760

14092128 has 72 divisors (see below), whose sum is σ = 40452048. Its totient is φ = 4653312.

The previous prime is 14092121. The next prime is 14092147. The reversal of 14092128 is 82129041.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14092121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47950 + ... + 48242.

It is an arithmetic number, because the mean of its divisors is an integer number (561834).

Almost surely, 214092128 is an apocalyptic number.

14092128 is a gapful number since it is divisible by the number (18) 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 14092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226024).

14092128 is an abundant number, since it is smaller than the sum of its proper divisors (26359920).

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

14092128 is a wasteful number, since it uses less digits than its factorization.

14092128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14092128 is about 3753.9483214344. The cubic root of 14092128 is about 241.5417414314.

The spelling of 14092128 in words is "fourteen million, ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 293 334 501 586 668 879 1002 1172 1336 1503 1758 2004 2344 2637 2672 3006 3516 4008 4688 5274 5344 6012 7032 8016 9376 10548 12024 14064 16032 21096 24048 28128 42192 48096 48931 84384 97862 146793 195724 293586 391448 440379 587172 782896 880758 1174344 1565792 1761516 2348688 3523032 4697376 7046064 14092128