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6380640 = 253357211
BaseRepresentation
bin11000010101110001100000
3110000011121000
4120111301200
53113140030
6344432000
7105143310
oct30256140
913004530
106380640
113668962
122178600
131425336
14bc1440
15860860
hex615c60

6380640 has 192 divisors, whose sum is σ = 25643520. Its totient is φ = 1451520.

The previous prime is 6380639. The next prime is 6380657. The reversal of 6380640 is 460836.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30135 + ... + 30345.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

Almost surely, 26380640 is an apocalyptic number.

6380640 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 6380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

6380640 is an abundant number, since it is smaller than the sum of its proper divisors (19262880).

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

6380640 is a wasteful number, since it uses less digits than its factorization.

6380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6380640 is about 2525.9928740992. The cubic root of 6380640 is about 185.4761535062.

The spelling of 6380640 in words is "six million, three hundred eighty thousand, six hundred forty".