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71443080 = 2333583797
BaseRepresentation
bin1000100001000…
…10001010001000
311222102200111000
410100202022020
5121242134310
611031135000
71525153602
oct420421210
9158380430
1071443080
1137367275
121bb14460
1311a55617
1496ba172
1564134c0
hex4422288

71443080 has 128 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 18798336.

The previous prime is 71443079. The next prime is 71443091. The reversal of 71443080 is 8034417.

It is a super-2 number, since 2×714430802 = 10208227359772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89242 + ... + 90038.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 271443080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71443080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

71443080 is an abundant number, since it is smaller than the sum of its proper divisors (169872120).

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

71443080 is a wasteful number, since it uses less digits than its factorization.

71443080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71443080 is about 8452.4008423643. The cubic root of 71443080 is about 414.9413571755.

Adding to 71443080 its reverse (8034417), we get a palindrome (79477497).

The spelling of 71443080 in words is "seventy-one million, four hundred forty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 797 830 996 1080 1245 1494 1594 1660 1992 2241 2391 2490 2988 3188 3320 3735 3985 4482 4782 4980 5976 6376 7173 7470 7970 8964 9564 9960 11205 11955 14346 14940 15940 17928 19128 21519 22410 23910 28692 29880 31880 35865 43038 44820 47820 57384 66151 71730 86076 89640 95640 107595 132302 143460 172152 198453 215190 264604 286920 330755 396906 430380 529208 595359 661510 793812 860760 992265 1190718 1323020 1587624 1786077 1984530 2381436 2646040 2976795 3572154 3969060 4762872 5953590 7144308 7938120 8930385 11907180 14288616 17860770 23814360 35721540 71443080