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172044 = 223659
BaseRepresentation
bin101010000000001100
322202000000
4222000030
521001134
63404300
71314405
oct520014
9282000
10172044
11108294
1283690
1360402
14469ac
1535e99
hex2a00c

172044 has 42 divisors (see below), whose sum is σ = 459060. Its totient is φ = 56376.

The previous prime is 172031. The next prime is 172049. The reversal of 172044 is 440271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (172049) by changing a digit.

172044 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 (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2887 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (10930).

2172044 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 172044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229530).

172044 is an abundant number, since it is smaller than the sum of its proper divisors (287016).

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

172044 is an equidigital number, since it uses as much as digits as its factorization.

172044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 172044 is about 414.7818703849. The cubic root of 172044 is about 55.6177194528.

It can be divided in two parts, 1720 and 44, that added together give a square (1764 = 422).

The spelling of 172044 in words is "one hundred seventy-two thousand, forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 972 1062 1458 1593 2124 2916 3186 4779 6372 9558 14337 19116 28674 43011 57348 86022 172044