Search a number
-
+
71003660 = 22571323001
BaseRepresentation
bin1000011101101…
…10111000001100
311221121100201012
410032312320030
5121134104120
611013504352
71521343520
oct416667014
9157540635
1071003660
1137097112
121b9420b8
1311930600
149603d80
1563781c5
hex43b6e0c

71003660 has 72 divisors (see below), whose sum is σ = 184586976. Its totient is φ = 22464000.

The previous prime is 71003659. The next prime is 71003683. The reversal of 71003660 is 6630017.

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 23 ways as a sum of consecutive naturals, for example, 22160 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (2563708).

Almost surely, 271003660 is an apocalyptic number.

71003660 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 71003660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92293488).

71003660 is an abundant number, since it is smaller than the sum of its proper divisors (113583316).

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

71003660 is a wasteful number, since it uses less digits than its factorization.

71003660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 71003660 is about 8426.3669514210. The cubic root of 71003660 is about 414.0888900280.

Adding to 71003660 its reverse (6630017), we get a palindrome (77633677).

The spelling of 71003660 in words is "seventy-one million, three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3001 3380 4732 5915 6002 11830 12004 15005 21007 23660 30010 39013 42014 60020 78026 84028 105035 156052 195065 210070 273091 390130 420140 507169 546182 780260 1014338 1092364 1365455 2028676 2535845 2730910 3550183 5071690 5461820 7100366 10143380 14200732 17750915 35501830 71003660