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6680664 = 2333157197
BaseRepresentation
bin11001011111000001011000
3110120102011000
4121133001120
53202240124
6355105000
7110533104
oct31370130
913512130
106680664
113853311
1222a2160
1314cba73
14c5c904
158be6c9
hex65f058

6680664 has 64 divisors (see below), whose sum is σ = 18770400. Its totient is φ = 2201472.

The previous prime is 6680657. The next prime is 6680689. The reversal of 6680664 is 4660866.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33814 + ... + 34010.

Almost surely, 26680664 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 6680664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9385200).

6680664 is an abundant number, since it is smaller than the sum of its proper divisors (12089736).

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

6680664 is a wasteful number, since it uses less digits than its factorization.

6680664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6680664 is about 2584.6980481286. The cubic root of 6680664 is about 188.3388336469.

The spelling of 6680664 in words is "six million, six hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 197 216 314 394 471 591 628 788 942 1182 1256 1413 1576 1773 1884 2364 2826 3546 3768 4239 4728 5319 5652 7092 8478 10638 11304 14184 16956 21276 30929 33912 42552 61858 92787 123716 185574 247432 278361 371148 556722 742296 835083 1113444 1670166 2226888 3340332 6680664