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122668 = 22713337
BaseRepresentation
bin11101111100101100
320020021021
4131330230
512411133
62343524
71020430
oct357454
9206237
10122668
1184187
125aba4
1343ab0
14329c0
152652d
hex1df2c

122668 has 24 divisors (see below), whose sum is σ = 264992. Its totient is φ = 48384.

The previous prime is 122663. The next prime is 122693. The reversal of 122668 is 866221.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (122663) by changing a digit.

122668 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 532.

2122668 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 122668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132496).

122668 is an abundant number, since it is smaller than the sum of its proper divisors (142324).

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

122668 is a wasteful number, since it uses less digits than its factorization.

122668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 122668 is about 350.2399177707. The cubic root of 122668 is about 49.6871127826.

Adding to 122668 its reverse (866221), we get a palindrome (988889).

The spelling of 122668 in words is "one hundred twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 337 364 674 1348 2359 4381 4718 8762 9436 17524 30667 61334 122668