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71666988 = 223231032521
BaseRepresentation
bin1000100010110…
…00110100101100
311222212001121220
410101120310230
5121321320423
611040023340
71530105441
oct421306454
9158761556
1071666988
11374aa518
1220001b50
1311b03503
1497379c8
1564599e3
hex4458d2c

71666988 has 48 divisors (see below), whose sum is σ = 176257536. Its totient is φ = 22619520.

The previous prime is 71666981. The next prime is 71666999. The reversal of 71666988 is 88966617.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71666988.

It is not an unprimeable number, because it can be changed into a prime (71666981) 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 15 ways as a sum of consecutive naturals, for example, 27168 + ... + 29688.

It is an arithmetic number, because the mean of its divisors is an integer number (3672032).

Almost surely, 271666988 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 71666988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128768).

71666988 is an abundant number, since it is smaller than the sum of its proper divisors (104590548).

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

71666988 is a wasteful number, since it uses less digits than its factorization.

71666988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2652 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 71666988 is about 8465.6357115104. The cubic root of 71666988 is about 415.3743909375.

The spelling of 71666988 in words is "seventy-one million, six hundred sixty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 1236 2369 2521 4738 5042 7107 7563 9476 10084 14214 15126 28428 30252 57983 115966 173949 231932 259663 347898 519326 695796 778989 1038652 1557978 3115956 5972249 11944498 17916747 23888996 35833494 71666988