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271720020 = 2235112132879
BaseRepresentation
bin10000001100100…
…001111001010100
3200221021210210110
4100030201321110
51024030020040
642543523020
76506403435
oct2014417124
9627253713
10271720020
1112a419300
1276bb9470
13443a89a0
142813148c
1518cc4980
hex10321e54

271720020 has 144 divisors (see below), whose sum is σ = 900910080. Its totient is φ = 60783360.

The previous prime is 271719961. The next prime is 271720021. The reversal of 271720020 is 20027172.

271720020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271720021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92941 + ... + 95819.

It is an arithmetic number, because the mean of its divisors is an integer number (6256320).

Almost surely, 2271720020 is an apocalyptic number.

271720020 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 271720020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450455040).

271720020 is an abundant number, since it is smaller than the sum of its proper divisors (629190060).

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

271720020 is a wasteful number, since it uses less digits than its factorization.

271720020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 271720020 is about 16483.9321765166. The cubic root of 271720020 is about 647.6999735147.

Adding to 271720020 its reverse (20027172), we get a palindrome (291747192).

The spelling of 271720020 in words is "two hundred seventy-one million, seven hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2420 2860 2879 3146 3630 4290 4719 5758 6292 7260 7865 8580 8637 9438 11516 14395 15730 17274 18876 23595 28790 31460 31669 34548 37427 43185 47190 57580 63338 74854 86370 94380 95007 112281 126676 149708 158345 172740 187135 190014 224562 316690 348359 374270 380028 411697 449124 475035 561405 633380 696718 748540 823394 950070 1045077 1122810 1235091 1393436 1646788 1741795 1900140 2058485 2090154 2245620 2470182 3483590 4116970 4180308 4528667 4940364 5225385 6175455 6967180 8233940 9057334 10450770 12350910 13586001 18114668 20901540 22643335 24701820 27172002 45286670 54344004 67930005 90573340 135860010 271720020