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122893 = 177229
BaseRepresentation
bin11110000000001101
320020120121
4132000031
512413033
62344541
71021201
oct360015
9206517
10122893
1184371
125b151
1343c24
1432b01
152662d
hex1e00d

122893 has 4 divisors (see below), whose sum is σ = 130140. Its totient is φ = 115648.

The previous prime is 122891. The next prime is 122921. The reversal of 122893 is 398221.

122893 is nontrivially palindromic in base 7.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 398221 = 1920959.

It can be written as a sum of positive squares in 2 ways, for example, as 114244 + 8649 = 338^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 122893 - 21 = 122891 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122891) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3598 + ... + 3631.

It is an arithmetic number, because the mean of its divisors is an integer number (32535).

2122893 is an apocalyptic number.

It is an amenable number.

122893 is a deficient number, since it is larger than the sum of its proper divisors (7247).

122893 is an equidigital number, since it uses as much as digits as its factorization.

122893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246.

The product of its digits is 864, while the sum is 25.

The square root of 122893 is about 350.5609790037. The cubic root of 122893 is about 49.7174732462.

It can be divided in two parts, 12 and 2893, that multiplied together give a triangular number (34716 = T263).

The spelling of 122893 in words is "one hundred twenty-two thousand, eight hundred ninety-three".

Divisors: 1 17 7229 122893