Search a number
-
+
172080 = 24325239
BaseRepresentation
bin101010000000110000
322202001100
4222000300
521001310
63404400
71314456
oct520060
9282040
10172080
11108317
1283700
136042c
14469d6
1535ec0
hex2a030

172080 has 60 divisors (see below), whose sum is σ = 580320. Its totient is φ = 45696.

The previous prime is 172079. The next prime is 172093. The reversal of 172080 is 80271.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1720802 = 59223052800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 601 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2172080 is an apocalyptic number.

172080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

172080 is an abundant number, since it is smaller than the sum of its proper divisors (408240).

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

172080 is a wasteful number, since it uses less digits than its factorization.

172080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 172080 is about 414.8252644186. The cubic root of 172080 is about 55.6215984959.

Subtracting from 172080 its reverse (80271), we obtain a square (91809 = 3032).

The spelling of 172080 in words is "one hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 239 240 360 478 717 720 956 1195 1434 1912 2151 2390 2868 3585 3824 4302 4780 5736 7170 8604 9560 10755 11472 14340 17208 19120 21510 28680 34416 43020 57360 86040 172080