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71242240 = 295171637
BaseRepresentation
bin1000011111100…
…01001000000000
311222001110222111
410033301020000
5121214222430
611022545104
71523356216
oct417611000
9158043874
1071242240
113723a393
121ba38194
13119b5094
149666cb6
1563c3c2a
hex43f1200

71242240 has 80 divisors (see below), whose sum is σ = 180972792. Its totient is φ = 26804224.

The previous prime is 71242231. The next prime is 71242261. The reversal of 71242240 is 4224217.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 24127744 = 6864^2 + 4912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42702 + ... + 44338.

Almost surely, 271242240 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 71242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90486396).

71242240 is an abundant number, since it is smaller than the sum of its proper divisors (109730552).

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

71242240 is a wasteful number, since it uses less digits than its factorization.

71242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 71242240 is about 8440.5118328215. The cubic root of 71242240 is about 414.5521660590.

Adding to 71242240 its reverse (4224217), we get a palindrome (75466457).

The spelling of 71242240 in words is "seventy-one million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 1637 2176 2560 2720 3274 4352 5440 6548 8185 8704 10880 13096 16370 21760 26192 27829 32740 43520 52384 55658 65480 104768 111316 130960 139145 209536 222632 261920 278290 419072 445264 523840 556580 838144 890528 1047680 1113160 1781056 2095360 2226320 3562112 4190720 4452640 7124224 8905280 14248448 17810560 35621120 71242240