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71020680 = 23353171867
BaseRepresentation
bin1000011101110…
…11000010001000
311221122020001120
410032323002020
5121140130210
611014115240
71521444243
oct416730210
9157566046
1071020680
11370a8985
121b94bb20
1311938293
14960a25a
15637d270
hex43bb088

71020680 has 64 divisors (see below), whose sum is σ = 213848640. Its totient is φ = 18868992.

The previous prime is 71020669. The next prime is 71020717. The reversal of 71020680 is 8602017.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71020680.

It is an unprimeable number.

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, 37107 + ... + 38973.

It is an arithmetic number, because the mean of its divisors is an integer number (3341385).

Almost surely, 271020680 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 71020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106924320).

71020680 is an abundant number, since it is smaller than the sum of its proper divisors (142827960).

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

71020680 is a wasteful number, since it uses less digits than its factorization.

71020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 71020680 is about 8427.3768160680. The cubic root of 71020680 is about 414.1219739087.

Adding to 71020680 its reverse (8602017), we get a palindrome (79622697).

The spelling of 71020680 in words is "seventy-one million, twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 634 951 1268 1585 1867 1902 2536 3170 3734 3804 4755 5601 6340 7468 7608 9335 9510 11202 12680 14936 18670 19020 22404 28005 37340 38040 44808 56010 74680 112020 224040 591839 1183678 1775517 2367356 2959195 3551034 4734712 5918390 7102068 8877585 11836780 14204136 17755170 23673560 35510340 71020680