[go: up one dir, main page]

Search a number
-
+
71380764 = 2236713269
BaseRepresentation
bin1000100000100…
…10111100011100
311222022112000000
410100102330130
5121233141024
611025534300
71524504120
oct420227434
9158275000
1071380764
1137324474
121baa4390
1311a33150
1496a1580
1563eecc9
hex4412f1c

71380764 has 168 divisors, whose sum is σ = 231366240. Its totient is φ = 18755712.

The previous prime is 71380763. The next prime is 71380781. The reversal of 71380764 is 46708317.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71380763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 265222 + ... + 265490.

It is an arithmetic number, because the mean of its divisors is an integer number (1377180).

Almost surely, 271380764 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 71380764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115683120).

71380764 is an abundant number, since it is smaller than the sum of its proper divisors (159985476).

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

71380764 is a wasteful number, since it uses less digits than its factorization.

71380764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71380764 is about 8448.7137482578. The cubic root of 71380764 is about 414.8206783204.

The spelling of 71380764 in words is "seventy-one million, three hundred eighty thousand, seven hundred sixty-four".