Search a number
-
+
71336160 = 2533572337
BaseRepresentation
bin1000100000010…
…00000011100000
311222020020211000
410100020003200
5121230224120
611024552000
71524230100
oct420100340
9158206730
1071336160
11372a3a05
121ba82600
1311a18a5c
14968d200
1563e1990
hex44080e0

71336160 has 288 divisors, whose sum is σ = 291301920. Its totient is φ = 16257024.

The previous prime is 71336159. The next prime is 71336171. The reversal of 71336160 is 6163317.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 211512 + ... + 211848.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 271336160 is an apocalyptic number.

71336160 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 71336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

71336160 is an abundant number, since it is smaller than the sum of its proper divisors (219965760).

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

71336160 is a wasteful number, since it uses less digits than its factorization.

71336160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 71336160 is about 8446.0736440076. The cubic root of 71336160 is about 414.7342567330.

Adding to 71336160 its reverse (6163317), we get a palindrome (77499477).

The spelling of 71336160 in words is "seventy-one million, three hundred thirty-six thousand, one hundred sixty".