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6393984 = 27316651
BaseRepresentation
bin11000011001000010000000
3110000211220020
4120121002000
53114101414
6345013440
7105230232
oct30310200
913024806
106393984
113677993
122184280
13142b42c
14bc6252
158647a9
hex619080

6393984 has 32 divisors (see below), whose sum is σ = 16985040. Its totient is φ = 2131200.

The previous prime is 6393983. The next prime is 6394009. The reversal of 6393984 is 4893936.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 63 + 3 + 92 + 313 + 97 + 8 + 47 .

It is not an unprimeable number, because it can be changed into a prime (6393983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7942 + ... + 8709.

Almost surely, 26393984 is an apocalyptic number.

6393984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6393984 is an abundant number, since it is smaller than the sum of its proper divisors (10591056).

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

6393984 is a wasteful number, since it uses less digits than its factorization.

6393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16668 (or 16656 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 6393984 is about 2528.6328321842. The cubic root of 6393984 is about 185.6053605269.

The spelling of 6393984 in words is "six million, three hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 16651 33302 49953 66604 99906 133208 199812 266416 399624 532832 799248 1065664 1598496 2131328 3196992 6393984