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71316220 = 22529412999
BaseRepresentation
bin1000100000000…
…11001011111100
311222012020110111
410100003023330
5121224104340
611024315404
71524115003
oct420031374
9158166414
1071316220
113728aa28
121ba72b64
1311a0c961
149685c3a
1563daaea
hex44032fc

71316220 has 48 divisors (see below), whose sum is σ = 158760000. Its totient is φ = 26862080.

The previous prime is 71316209. The next prime is 71316229. The reversal of 71316220 is 2261317.

It is a junction number, because it is equal to n+sod(n) for n = 71316191 and 71316200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71316229) 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, 22281 + ... + 25279.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 271316220 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 71316220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380000).

71316220 is an abundant number, since it is smaller than the sum of its proper divisors (87443780).

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

71316220 is a wasteful number, since it uses less digits than its factorization.

71316220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 71316220 is about 8444.8931313546. The cubic root of 71316220 is about 414.6956107329.

Adding to 71316220 its reverse (2261317), we get a palindrome (73577537).

The spelling of 71316220 in words is "seventy-one million, three hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 2999 4756 5945 5998 11890 11996 14995 23780 29990 59980 86971 122959 173942 245918 347884 434855 491836 614795 869710 1229590 1739420 2459180 3565811 7131622 14263244 17829055 35658110 71316220