Search a number
-
+
172400 = 2452431
BaseRepresentation
bin101010000101110000
322202111012
4222011300
521004100
63410052
71315424
oct520560
9282435
10172400
11108588
1283928
1360617
1446b84
1536135
hex2a170

172400 has 30 divisors (see below), whose sum is σ = 415152. Its totient is φ = 68800.

The previous prime is 172399. The next prime is 172411. The reversal of 172400 is 4271.

It is a happy number.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 185 + ... + 615.

2172400 is an apocalyptic number.

172400 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 172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207576).

172400 is an abundant number, since it is smaller than the sum of its proper divisors (242752).

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

172400 is a wasteful number, since it uses less digits than its factorization.

172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 172400 is about 415.2107898405. The cubic root of 172400 is about 55.6560551245.

Adding to 172400 its reverse (4271), we get a palindrome (176671).

The spelling of 172400 in words is "one hundred seventy-two thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 431 862 1724 2155 3448 4310 6896 8620 10775 17240 21550 34480 43100 86200 172400