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271440 = 243251329
BaseRepresentation
bin1000010010001010000
3111210100100
41002101100
532141230
65452400
72210241
oct1022120
9453310
10271440
11175a34
12111100
1396720
1470cc8
1555660
hex42450

271440 has 120 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 64512.

The previous prime is 271429. The next prime is 271451. The reversal of 271440 is 44172.

It is a happy number.

It is a Cunningham number, because it is equal to 5212-1.

It is an interprime number because it is at equal distance from previous prime (271429) and next prime (271451).

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 266256 = 72^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

271440 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 (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9346 + ... + 9374.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2271440 is an apocalyptic number.

271440 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 271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

271440 is an abundant number, since it is smaller than the sum of its proper divisors (744120).

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

271440 is a wasteful number, since it uses less digits than its factorization.

271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 271440 is about 520.9990403062. Note that the first 3 decimals coincide. The cubic root of 271440 is about 64.7477402152.

Subtracting from 271440 its product of nonzero digits (224), we obtain a triangular number (271216 = T736).

The spelling of 271440 in words is "two hundred seventy-one thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 29 30 36 39 40 45 48 52 58 60 65 72 78 80 87 90 104 116 117 120 130 144 145 156 174 180 195 208 232 234 240 260 261 290 312 348 360 377 390 435 464 468 520 522 580 585 624 696 720 754 780 870 936 1040 1044 1131 1160 1170 1305 1392 1508 1560 1740 1872 1885 2088 2262 2320 2340 2610 3016 3120 3393 3480 3770 4176 4524 4680 5220 5655 6032 6786 6960 7540 9048 9360 10440 11310 13572 15080 16965 18096 20880 22620 27144 30160 33930 45240 54288 67860 90480 135720 271440