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271997424 = 2432107127139
BaseRepresentation
bin10000001101100…
…101100111110000
3200221210220022200
4100031211213300
51024112404144
642553503200
76511640256
oct2015454760
9627726280
10271997424
1112a598766
1277111b00
134447502a
14281a45d6
1518d2bc69
hex103659f0

271997424 has 120 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 88470144.

The previous prime is 271997419. The next prime is 271997437. The reversal of 271997424 is 424799172.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (254016) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 271997424.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1956747 + ... + 1956885.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2271997424 is an apocalyptic number.

271997424 is a gapful number since it is divisible by the number (24) 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 271997424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

271997424 is an abundant number, since it is smaller than the sum of its proper divisors (507952656).

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

271997424 is a wasteful number, since it uses less digits than its factorization.

271997424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 271997424 is about 16492.3444058145. The cubic root of 271997424 is about 647.9203148471.

The spelling of 271997424 in words is "two hundred seventy-one million, nine hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 127 139 144 214 254 278 321 381 417 428 508 556 642 762 834 856 963 1016 1112 1143 1251 1284 1524 1668 1712 1926 2032 2224 2286 2502 2568 3048 3336 3852 4572 5004 5136 6096 6672 7704 9144 10008 13589 14873 15408 17653 18288 20016 27178 29746 35306 40767 44619 52959 54356 59492 70612 81534 89238 105918 108712 118984 122301 133857 141224 158877 163068 178476 211836 217424 237968 244602 267714 282448 317754 326136 356952 423672 489204 535428 635508 652272 713904 847344 978408 1070856 1271016 1888871 1956816 2141712 2542032 3777742 5666613 7555484 11333226 15110968 16999839 22666452 30221936 33999678 45332904 67999356 90665808 135998712 271997424