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273241020 = 2235131372557
BaseRepresentation
bin10000010010010…
…101001110111100
3201001011002012210
4100102111032330
51024422203040
643040300420
76525340023
oct2022251674
9631132183
10273241020
11130268028
1277611710
13447bc0a0
14284098ba
1518ec5480
hex104953bc

273241020 has 96 divisors (see below), whose sum is σ = 830265408. Its totient is φ = 66742272.

The previous prime is 273241019. The next prime is 273241027. The reversal of 273241020 is 20142372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273241027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105582 + ... + 108138.

It is an arithmetic number, because the mean of its divisors is an integer number (8648598).

Almost surely, 2273241020 is an apocalyptic number.

273241020 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 273241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415132704).

273241020 is an abundant number, since it is smaller than the sum of its proper divisors (557024388).

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

273241020 is a wasteful number, since it uses less digits than its factorization.

273241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 273241020 is about 16530.0036297637. The cubic root of 273241020 is about 648.9062631961.

Adding to 273241020 its reverse (20142372), we get a palindrome (293383392).

The spelling of 273241020 in words is "two hundred seventy-three million, two hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 195 260 274 390 411 548 685 780 822 1370 1644 1781 2055 2557 2740 3562 4110 5114 5343 7124 7671 8220 8905 10228 10686 12785 15342 17810 21372 25570 26715 30684 33241 35620 38355 51140 53430 66482 76710 99723 106860 132964 153420 166205 199446 332410 350309 398892 498615 664820 700618 997230 1050927 1401236 1751545 1994460 2101854 3503090 4203708 4554017 5254635 7006180 9108034 10509270 13662051 18216068 21018540 22770085 27324102 45540170 54648204 68310255 91080340 136620510 273241020