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272190 = 23543211
BaseRepresentation
bin1000010011100111110
3111211101010
41002130332
532202230
65500050
72212362
oct1023476
9454333
10272190
11176556
12111626
1396b79
14712a2
15559b0
hex4273e

272190 has 32 divisors (see below), whose sum is σ = 671616. Its totient is φ = 70560.

The previous prime is 272189. The next prime is 272191. The reversal of 272190 is 91272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272189) and next prime (272191).

It is a super-3 number, since 3×2721903 = 60497545033377000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (20988).

2272190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335808).

272190 is an abundant number, since it is smaller than the sum of its proper divisors (399426).

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

272190 is a wasteful number, since it uses less digits than its factorization.

272190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 272190 is about 521.7183148022. The cubic root of 272190 is about 64.8073189416.

The spelling of 272190 in words is "two hundred seventy-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 211 215 258 422 430 633 645 1055 1266 1290 2110 3165 6330 9073 18146 27219 45365 54438 90730 136095 272190