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122844 = 22329353
BaseRepresentation
bin11101111111011100
320020111210
4131333130
512412334
62344420
71021101
oct357734
9206453
10122844
1184327
125b110
1343bb7
1432aa8
15265e9
hex1dfdc

122844 has 24 divisors (see below), whose sum is σ = 297360. Its totient is φ = 39424.

The previous prime is 122839. The next prime is 122849. The reversal of 122844 is 448221.

It is an interprime number because it is at equal distance from previous prime (122839) and next prime (122849).

It is a self number, because there is not a number n which added to its sum of digits gives 122844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122849) by changing a digit.

122844 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 172 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (12390).

2122844 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 122844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148680).

122844 is an abundant number, since it is smaller than the sum of its proper divisors (174516).

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

122844 is a wasteful number, since it uses less digits than its factorization.

122844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 122844 is about 350.4910840521. The cubic root of 122844 is about 49.7108645703.

The spelling of 122844 in words is "one hundred twenty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 353 706 1059 1412 2118 4236 10237 20474 30711 40948 61422 122844