Search a number
-
+
71245440 = 2733571931
BaseRepresentation
bin1000011111100…
…01111010000000
311222001122101000
410033301322000
5121214323230
611023012000
71523401440
oct417617200
9158048330
1071245440
1137241832
121ba3a000
13119b6686
149668120
1563c4b60
hex43f1e80

71245440 has 512 divisors, whose sum is σ = 313344000. Its totient is φ = 14929920.

The previous prime is 71245429. The next prime is 71245441. The reversal of 71245440 is 4454217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71245441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298225 + ... + 2298255.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 271245440 is an apocalyptic number.

71245440 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 71245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672000).

71245440 is an abundant number, since it is smaller than the sum of its proper divisors (242098560).

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

71245440 is a wasteful number, since it uses less digits than its factorization.

71245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 71245440 is about 8440.7013926569. The cubic root of 71245440 is about 414.5583728032.

Adding to 71245440 its reverse (4454217), we get a palindrome (75699657).

The spelling of 71245440 in words is "seventy-one million, two hundred forty-five thousand, four hundred forty".