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71006780 = 22513793457
BaseRepresentation
bin1000011101101…
…11101000111100
311221121111222202
410032313220330
5121134204110
611013531032
71521355565
oct416675074
9157544882
1071006780
1137099499
121b943a78
1311931b60
14960516c
1563790a5
hex43b7a3c

71006780 has 48 divisors (see below), whose sum is σ = 162664320. Its totient is φ = 25878528.

The previous prime is 71006759. The next prime is 71006783. The reversal of 71006780 is 8760017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71006783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18812 + ... + 22268.

It is an arithmetic number, because the mean of its divisors is an integer number (3388840).

Almost surely, 271006780 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 71006780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81332160).

71006780 is an abundant number, since it is smaller than the sum of its proper divisors (91657540).

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

71006780 is a wasteful number, since it uses less digits than its factorization.

71006780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 71006780 is about 8426.5520825543. The cubic root of 71006780 is about 414.0949551539.

Adding to 71006780 its reverse (8760017), we get a palindrome (79766797).

The spelling of 71006780 in words is "seventy-one million, six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 3457 4108 5135 6914 10270 13828 17285 20540 34570 44941 69140 89882 179764 224705 273103 449410 546206 898820 1092412 1365515 2731030 3550339 5462060 7100678 14201356 17751695 35503390 71006780