Search a number
-
+
71190720 = 26325191301
BaseRepresentation
bin1000011111001…
…00100011000000
311221221212022100
410033210203000
5121211100340
611021510400
71523053056
oct417444300
9157855270
1071190720
1137204707
121ba12400
13119977b3
1496521d6
1563b3830
hex43e48c0

71190720 has 168 divisors, whose sum is σ = 257952240. Its totient is φ = 17971200.

The previous prime is 71190709. The next prime is 71190761. The reversal of 71190720 is 2709117.

It is a super-2 number, since 2×711907202 = 10136237228236800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54070 + ... + 55370.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 271190720 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 71190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976120).

71190720 is an abundant number, since it is smaller than the sum of its proper divisors (186761520).

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

71190720 is a wasteful number, since it uses less digits than its factorization.

71190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 71190720 is about 8437.4593332353. The cubic root of 71190720 is about 414.4522118836.

Adding to 71190720 its reverse (2709117), we get a palindrome (73899837).

The spelling of 71190720 in words is "seventy-one million, one hundred ninety thousand, seven hundred twenty".