Search a number
-
+
65071104 = 211371789
BaseRepresentation
bin1111100000111…
…0100000000000
311112102221202220
43320032200000
5113124233404
610242411040
71420044450
oct370164000
9145387686
1065071104
113380497a
1219960a80
1310634217
1488dbd60
155aa54d9
hex3e0e800

65071104 has 192 divisors, whose sum is σ = 212284800. Its totient is φ = 17301504.

The previous prime is 65071103. The next prime is 65071109. The reversal of 65071104 is 40117056.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65071103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731092 + ... + 731180.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 265071104 is an apocalyptic number.

65071104 is a gapful number since it is divisible by the number (64) 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 65071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

65071104 is an abundant number, since it is smaller than the sum of its proper divisors (147213696).

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

65071104 is a wasteful number, since it uses less digits than its factorization.

65071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 65071104 is about 8066.6662258953. Note that the first 3 decimals coincide. The cubic root of 65071104 is about 402.2191325266.

The spelling of 65071104 in words is "sixty-five million, seventy-one thousand, one hundred four".