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671047104 = 263713193199
BaseRepresentation
bin100111111111110…
…101110111000000
31201202200201120110
4213333311313000
52333242001404
6150330511320
722425543360
oct4777656700
91652621513
10671047104
11314874692
12168895540
13a9042bc0
146519c9a0
153dda3b89
hex27ff5dc0

671047104 has 224 divisors, whose sum is σ = 2207564800. Its totient is φ = 175177728.

The previous prime is 671047051. The next prime is 671047127. The reversal of 671047104 is 401740176.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3371997 + ... + 3372195.

It is an arithmetic number, because the mean of its divisors is an integer number (9855200).

Almost surely, 2671047104 is an apocalyptic number.

671047104 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 671047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103782400).

671047104 is an abundant number, since it is smaller than the sum of its proper divisors (1536517696).

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

671047104 is a wasteful number, since it uses less digits than its factorization.

671047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 671047104 is about 25904.5768928967. The cubic root of 671047104 is about 875.4896215916.

It can be divided in two parts, 6 and 71047104, that multiplied together give a palindrome (426282624).

The spelling of 671047104 in words is "six hundred seventy-one million, forty-seven thousand, one hundred four".