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6674016 = 253193659
BaseRepresentation
bin11001011101011001100000
3110120002000210
4121131121200
53202032031
6355014120
7110504526
oct31353140
913502023
106674016
113849318
12229a340
1314c8a2b
14c5a316
158bc746
hex65d660

6674016 has 48 divisors (see below), whose sum is σ = 18446400. Its totient is φ = 2107008.

The previous prime is 6674011. The next prime is 6674029. The reversal of 6674016 is 6104766.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6674011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 3653.

It is an arithmetic number, because the mean of its divisors is an integer number (384300).

Almost surely, 26674016 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 6674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223200).

6674016 is an abundant number, since it is smaller than the sum of its proper divisors (11772384).

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

6674016 is a wasteful number, since it uses less digits than its factorization.

6674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6674016 is about 2583.4116977362. The cubic root of 6674016 is about 188.2763402524.

The spelling of 6674016 in words is "six million, six hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3659 7318 10977 14636 21954 29272 43908 58544 69521 87816 117088 139042 175632 208563 278084 351264 417126 556168 834252 1112336 1668504 2224672 3337008 6674016