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71812020 = 22357198999
BaseRepresentation
bin1000100011111…
…00001110110100
312000010102120110
410101330032310
5121340441040
611043103020
71531251330
oct421741664
9160112513
1071812020
1137599485
1220071a70
1311b54527
1497747c0
156487980
hex447c3b4

71812020 has 96 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 15548544.

The previous prime is 71811983. The next prime is 71812031. The reversal of 71812020 is 2021817.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 3481 + ... + 12479.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 271812020 is an apocalyptic number.

71812020 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 71812020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

71812020 is an abundant number, since it is smaller than the sum of its proper divisors (170107980).

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

71812020 is a wasteful number, since it uses less digits than its factorization.

71812020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 71812020 is about 8474.1973071200. The cubic root of 71812020 is about 415.6543989229.

Adding to 71812020 its reverse (2021817), we get a palindrome (73833837).

The spelling of 71812020 in words is "seventy-one million, eight hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 8999 17998 26997 35996 44995 53994 62993 89990 107988 125986 134985 170981 179980 188979 251972 269970 314965 341962 377958 512943 539940 629930 683924 755916 854905 944895 1025886 1196867 1259860 1709810 1889790 2051772 2393734 2564715 3419620 3590601 3779580 4787468 5129430 5984335 7181202 10258860 11968670 14362404 17953005 23937340 35906010 71812020