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6380928 = 273229191
BaseRepresentation
bin11000010101110110000000
3110000011222200
4120111312000
53113142203
6344433200
7105144201
oct30256600
913004880
106380928
1136690a4
122178800
1314254c8
14bc15a8
158609a3
hex615d80

6380928 has 96 divisors (see below), whose sum is σ = 19094400. Its totient is φ = 2042880.

The previous prime is 6380923. The next prime is 6380929. The reversal of 6380928 is 8290836.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 6380892 and 6380901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6380923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33313 + ... + 33503.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 26380928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

6380928 is an abundant number, since it is smaller than the sum of its proper divisors (12713472).

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

6380928 is a wasteful number, since it uses less digits than its factorization.

6380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6380928 is about 2526.0498807427. The cubic root of 6380928 is about 185.4789440480.

The spelling of 6380928 in words is "six million, three hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 191 192 232 261 288 348 382 384 464 522 573 576 696 764 928 1044 1146 1152 1392 1528 1719 1856 2088 2292 2784 3056 3438 3712 4176 4584 5539 5568 6112 6876 8352 9168 11078 11136 12224 13752 16617 16704 18336 22156 24448 27504 33234 33408 36672 44312 49851 55008 66468 73344 88624 99702 110016 132936 177248 199404 220032 265872 354496 398808 531744 708992 797616 1063488 1595232 2126976 3190464 6380928