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172100 = 22521721
BaseRepresentation
bin101010000001000100
322202002002
4222001010
521001400
63404432
71314515
oct520104
9282062
10172100
11108335
1283718
1360446
1446a0c
1535ed5
hex2a044

172100 has 18 divisors (see below), whose sum is σ = 373674. Its totient is φ = 68800.

The previous prime is 172097. The next prime is 172127. The reversal of 172100 is 1271.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 148996 = 152^2 + 386^2 .

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 5 ways as a sum of consecutive naturals, for example, 761 + ... + 960.

2172100 is an apocalyptic number.

172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172100 is an abundant number, since it is smaller than the sum of its proper divisors (201574).

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

172100 is a wasteful number, since it uses less digits than its factorization.

172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 172100 is about 414.8493702538. The cubic root of 172100 is about 55.6237532860.

Adding to 172100 its reverse (1271), we get a palindrome (173371).

It can be divided in two parts, 172 and 100, that added together give a palindrome (272).

The spelling of 172100 in words is "one hundred seventy-two thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 25 50 100 1721 3442 6884 8605 17210 34420 43025 86050 172100