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123172 = 2275383
BaseRepresentation
bin11110000100100100
320020221221
4132010210
512420142
62350124
71022050
oct360444
9206857
10123172
11845a5
125b344
13440aa
1432c60
1526767
hex1e124

123172 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 51168.

The previous prime is 123169. The next prime is 123191. The reversal of 123172 is 271321.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1443 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2123172 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 123172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

123172 is an abundant number, since it is smaller than the sum of its proper divisors (130844).

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

123172 is a wasteful number, since it uses less digits than its factorization.

123172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 123172 is about 350.9586870274. The cubic root of 123172 is about 49.7550688000.

Adding to 123172 its product of digits (84), we get a triangular number (123256 = T496).

Adding to 123172 its reverse (271321), we get a palindrome (394493).

The spelling of 123172 in words is "one hundred twenty-three thousand, one hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 14 28 53 83 106 166 212 332 371 581 742 1162 1484 2324 4399 8798 17596 30793 61586 123172