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71463420 = 223257431319
BaseRepresentation
bin1000100001001…
…11000111111100
311222110201101100
410100213013330
5121243312140
611031413100
71525300110
oct420470774
9158421340
1071463420
1137380586
121bb24190
1311a61962
1496c3740
156419530
hex44271fc

71463420 has 144 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 15942528.

The previous prime is 71463419. The next prime is 71463421. The reversal of 71463420 is 2436417.

71463420 is a `hidden beast` number, since 7 + 1 + 4 + 634 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (71463419) and next prime (71463421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71463421) 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 47 ways as a sum of consecutive naturals, for example, 53521 + ... + 54839.

It is an arithmetic number, because the mean of its divisors is an integer number (1761760).

Almost surely, 271463420 is an apocalyptic number.

71463420 is a gapful number since it is divisible by the number (70) 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 71463420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

71463420 is an abundant number, since it is smaller than the sum of its proper divisors (182230020).

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

71463420 is a wasteful number, since it uses less digits than its factorization.

71463420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 71463420 is about 8453.6039651737. The cubic root of 71463420 is about 414.9807316742.

Adding to 71463420 its reverse (2436417), we get a palindrome (73899837).

The spelling of 71463420 in words is "seventy-one million, four hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1204 1260 1290 1319 1505 1548 1806 1935 2580 2638 2709 3010 3612 3870 3957 4515 5276 5418 6020 6595 7740 7914 9030 9233 10836 11871 13190 13545 15828 18060 18466 19785 23742 26380 27090 27699 36932 39570 46165 47484 54180 55398 56717 59355 79140 83097 92330 110796 113434 118710 138495 166194 170151 184660 226868 237420 276990 283585 332388 340302 397019 415485 510453 553980 567170 680604 794038 830970 850755 1020906 1134340 1191057 1588076 1661940 1701510 1985095 2041812 2382114 2552265 3403020 3573171 3970190 4764228 5104530 5955285 7146342 7940380 10209060 11910570 14292684 17865855 23821140 35731710 71463420