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670247040 = 2735192967
BaseRepresentation
bin100111111100110…
…010100010000000
31201201012002002110
4213330302202000
52333040401130
6150301415320
722416002001
oct4774624200
91651162073
10670247040
11314378581
1216856a540
13a8b229a8
14650311a8
153dc96ab0
hex27f32880

670247040 has 192 divisors, whose sum is σ = 2257104960. Its totient is φ = 169150464.

The previous prime is 670247033. The next prime is 670247041. The reversal of 670247040 is 40742076.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 670246989 and 670247007.

It is not an unprimeable number, because it can be changed into a prime (670247041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692637 + ... + 693603.

It is an arithmetic number, because the mean of its divisors is an integer number (11755755).

Almost surely, 2670247040 is an apocalyptic number.

670247040 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 670247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128552480).

670247040 is an abundant number, since it is smaller than the sum of its proper divisors (1586857920).

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

670247040 is a wasteful number, since it uses less digits than its factorization.

670247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 670247040 is about 25889.1297652123. The cubic root of 670247040 is about 875.1415455368.

The spelling of 670247040 in words is "six hundred seventy million, two hundred forty-seven thousand, forty".