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126854 = 27131741
BaseRepresentation
bin11110111110000110
320110000022
4132332012
513024404
62415142
71035560
oct367606
9213008
10126854
1187342
12614b2
1345980
1434330
15278be
hex1ef86

126854 has 32 divisors (see below), whose sum is σ = 254016. Its totient is φ = 46080.

The previous prime is 126851. The next prime is 126857. The reversal of 126854 is 458621.

126854 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (126851) and next prime (126857).

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a d-powerful number, because it can be written as 1 + 211 + 8 + 66 + 57 + 42 .

Its product of digits (1920) is a multiple of the sum of its prime divisors (80).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126851) 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 15 ways as a sum of consecutive naturals, for example, 3074 + ... + 3114.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2126854 is an apocalyptic number.

126854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

126854 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

126854 is a wasteful number, since it uses less digits than its factorization.

126854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80.

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

The square root of 126854 is about 356.1656917784. The cubic root of 126854 is about 50.2459878153.

The spelling of 126854 in words is "one hundred twenty-six thousand, eight hundred fifty-four".

Divisors: 1 2 7 13 14 17 26 34 41 82 91 119 182 221 238 287 442 533 574 697 1066 1394 1547 3094 3731 4879 7462 9061 9758 18122 63427 126854