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71011220 = 2257598597
BaseRepresentation
bin1000011101110…
…00101110010100
311221121202002012
410032320232110
5121134324340
611014003352
71521404540
oct416705624
9157552065
1071011220
11370a1865
121b946558
1311933b97
149606a20
15637a565
hex43b8b94

71011220 has 48 divisors (see below), whose sum is σ = 173335680. Its totient is φ = 23931264.

The previous prime is 71011201. The next prime is 71011247. The reversal of 71011220 is 2211017.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 71011195 and 71011204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3962 + ... + 12558.

It is an arithmetic number, because the mean of its divisors is an integer number (3611160).

Almost surely, 271011220 is an apocalyptic number.

71011220 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 71011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86667840).

71011220 is an abundant number, since it is smaller than the sum of its proper divisors (102324460).

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

71011220 is a wasteful number, since it uses less digits than its factorization.

71011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8672 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 71011220 is about 8426.8155313855. The cubic root of 71011220 is about 414.1035859883.

Adding to 71011220 its reverse (2211017), we get a palindrome (73222237).

The spelling of 71011220 in words is "seventy-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 8597 17194 34388 42985 60179 85970 120358 171940 240716 300895 507223 601790 1014446 1203580 2028892 2536115 3550561 5072230 7101122 10144460 14202244 17752805 35505610 71011220