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671082720 = 253571167271
BaseRepresentation
bin100111111111111…
…110100011100000
31201202202112102120
4213333332203200
52333244121340
6150331344240
722426052250
oct4777764340
91652675376
10671082720
11314899420
121688b2080
13a9056189
14651ab960
153ddae4d0
hex27ffe8e0

671082720 has 384 divisors, whose sum is σ = 2684731392. Its totient is φ = 136857600.

The previous prime is 671082719. The next prime is 671082721. The reversal of 671082720 is 27280176.

It is an interprime number because it is at equal distance from previous prime (671082719) and next prime (671082721).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671082721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2476185 + ... + 2476455.

It is an arithmetic number, because the mean of its divisors is an integer number (6991488).

Almost surely, 2671082720 is an apocalyptic number.

671082720 is a gapful number since it is divisible by the number (60) 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 671082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342365696).

671082720 is an abundant number, since it is smaller than the sum of its proper divisors (2013648672).

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

671082720 is a wasteful number, since it uses less digits than its factorization.

671082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 671082720 is about 25905.2643298616. The cubic root of 671082720 is about 875.5051102642.

The spelling of 671082720 in words is "six hundred seventy-one million, eighty-two thousand, seven hundred twenty".