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71220240 = 243257131087
BaseRepresentation
bin1000011111010…
…11110000010000
311222000100210200
410033223300100
5121213021430
611022255200
71523235120
oct417536020
9158010720
1071220240
1137224903
121ba27500
13119a8070
14965cc80
1563bc460
hex43ebc10

71220240 has 240 divisors, whose sum is σ = 294647808. Its totient is φ = 15012864.

The previous prime is 71220229. The next prime is 71220269. The reversal of 71220240 is 4202217.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64977 + ... + 66063.

Almost surely, 271220240 is an apocalyptic number.

71220240 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 71220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147323904).

71220240 is an abundant number, since it is smaller than the sum of its proper divisors (223427568).

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

71220240 is a wasteful number, since it uses less digits than its factorization.

71220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 71220240 is about 8439.2084936918. The cubic root of 71220240 is about 414.5094896609.

Adding to 71220240 its reverse (4202217), we get a palindrome (75422457).

The spelling of 71220240 in words is "seventy-one million, two hundred twenty thousand, two hundred forty".