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671742720 = 28345111931
BaseRepresentation
bin101000000010011…
…111101100000000
31201211000001210000
4220002133230000
52333431231340
6150353440000
722434501405
oct5002375400
91654001700
10671742720
113151aa280
12168b70000
13a92276cc
14653002ac
153de8ed30
hex2809fb00

671742720 has 720 divisors, whose sum is σ = 2849172480. Its totient is φ = 149299200.

The previous prime is 671742707. The next prime is 671742727. The reversal of 671742720 is 27247176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (671742727) 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 79 ways as a sum of consecutive naturals, for example, 21669105 + ... + 21669135.

It is an arithmetic number, because the mean of its divisors is an integer number (3957184).

Almost surely, 2671742720 is an apocalyptic number.

671742720 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 671742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424586240).

671742720 is an abundant number, since it is smaller than the sum of its proper divisors (2177429760).

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

671742720 is a wasteful number, since it uses less digits than its factorization.

671742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 671742720 is about 25917.9999228336. Note that the first 4 decimals coincide. The cubic root of 671742720 is about 875.7920316967.

Adding to 671742720 its reverse (27247176), we get a palindrome (698989896).

The spelling of 671742720 in words is "six hundred seventy-one million, seven hundred forty-two thousand, seven hundred twenty".