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14126292 = 2233139941
BaseRepresentation
bin110101111000…
…110011010100
3222120200122000
4311320303110
512104020132
61222435300
7231033345
oct65706324
928520560
1014126292
117a79324
124892b30
132c07a6b
141c3a0cc
15139087c
hexd78cd4

14126292 has 48 divisors (see below), whose sum is σ = 36926400. Its totient is φ = 4669920.

The previous prime is 14126261. The next prime is 14126293. The reversal of 14126292 is 29262141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14126293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14542 + ... + 15482.

It is an arithmetic number, because the mean of its divisors is an integer number (769300).

Almost surely, 214126292 is an apocalyptic number.

14126292 is a gapful number since it is divisible by the number (12) 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 14126292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18463200).

14126292 is an abundant number, since it is smaller than the sum of its proper divisors (22800108).

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

14126292 is a wasteful number, since it uses less digits than its factorization.

14126292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 14126292 is about 3758.4959757861. The cubic root of 14126292 is about 241.7367763820.

The spelling of 14126292 in words is "fourteen million, one hundred twenty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 941 1251 1668 1882 2502 2823 3753 3764 5004 5646 7506 8469 11292 15012 16938 25407 33876 50814 101628 130799 261598 392397 523196 784794 1177191 1569588 2354382 3531573 4708764 7063146 14126292