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6440016 = 2431112197
BaseRepresentation
bin11000100100010001010000
3110010012001010
4120210101100
53122040031
6350010520
7105511362
oct30442120
913105033
106440016
1136a9530
1221a6a40
13144637b
14bd8d32
15873246
hex624450

6440016 has 40 divisors (see below), whose sum is σ = 18150624. Its totient is φ = 1951360.

The previous prime is 6440011. The next prime is 6440029. The reversal of 6440016 is 6100446.

It is a junction number, because it is equal to n+sod(n) for n = 6439974 and 6440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5571 + ... + 6626.

Almost surely, 26440016 is an apocalyptic number.

6440016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6440016 is an abundant number, since it is smaller than the sum of its proper divisors (11710608).

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

6440016 is a wasteful number, since it uses less digits than its factorization.

6440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6440016 is about 2537.7186605296. The cubic root of 6440016 is about 186.0497034472.

The spelling of 6440016 in words is "six million, four hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 12197 24394 36591 48788 73182 97576 134167 146364 195152 268334 292728 402501 536668 585456 805002 1073336 1610004 2146672 3220008 6440016