Search a number
-
+
273240 = 233351123
BaseRepresentation
bin1000010101101011000
3111212211000
41002231120
532220430
65505000
72215422
oct1025530
9455730
10273240
11177320
12112160
13974a6
1471812
1555e60
hex42b58

273240 has 128 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 63360.

The previous prime is 273233. The next prime is 273253. The reversal of 273240 is 42372.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11869 + ... + 11891.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2273240 is an apocalyptic number.

273240 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 273240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

273240 is an abundant number, since it is smaller than the sum of its proper divisors (763560).

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

273240 is a wasteful number, since it uses less digits than its factorization.

273240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 273240 is about 522.7236363510. The cubic root of 273240 is about 64.8905455746.

It can be divided in two parts, 2732 and 40, that added together give a palindrome (2772).

The spelling of 273240 in words is "two hundred seventy-three thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 23 24 27 30 33 36 40 44 45 46 54 55 60 66 69 72 88 90 92 99 108 110 115 120 132 135 138 165 180 184 198 207 216 220 230 253 264 270 276 297 330 345 360 396 414 440 460 495 506 540 552 594 621 660 690 759 792 828 920 990 1012 1035 1080 1188 1242 1265 1320 1380 1485 1518 1656 1980 2024 2070 2277 2376 2484 2530 2760 2970 3036 3105 3795 3960 4140 4554 4968 5060 5940 6072 6210 6831 7590 8280 9108 10120 11385 11880 12420 13662 15180 18216 22770 24840 27324 30360 34155 45540 54648 68310 91080 136620 273240