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271960 = 23513523
BaseRepresentation
bin1000010011001011000
3111211001121
41002121120
532200320
65455024
72211613
oct1023130
9454047
10271960
11176367
12111474
1396a30
147117a
15558aa
hex42658

271960 has 32 divisors (see below), whose sum is σ = 660240. Its totient is φ = 100224.

The previous prime is 271939. The next prime is 271967. The reversal of 271960 is 69172.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271967) by changing a digit.

271960 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 781.

2271960 is an apocalyptic number.

271960 is a gapful number since it is divisible by the number (20) 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 271960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330120).

271960 is an abundant number, since it is smaller than the sum of its proper divisors (388280).

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

271960 is a wasteful number, since it uses less digits than its factorization.

271960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 271960 is about 521.4978427568. The cubic root of 271960 is about 64.7890597798.

The spelling of 271960 in words is "two hundred seventy-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 523 1046 2092 2615 4184 5230 6799 10460 13598 20920 27196 33995 54392 67990 135980 271960