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6681330 = 2325611217
BaseRepresentation
bin11001011111001011110010
3110120110001200
4121133023302
53202300310
6355112030
7110535045
oct31371362
913513050
106681330
113853867
1222a2616
1314cc166
14c5cc5c
158be9c0
hex65f2f2

6681330 has 48 divisors (see below), whose sum is σ = 17670744. Its totient is φ = 1751040.

The previous prime is 6681329. The next prime is 6681359. The reversal of 6681330 is 331866.

6681330 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 2913849 + 3767481 = 1707^2 + 1941^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6681294 and 6681303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4882 + ... + 6098.

Almost surely, 26681330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835372).

6681330 is an abundant number, since it is smaller than the sum of its proper divisors (10989414).

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

6681330 is a wasteful number, since it uses less digits than its factorization.

6681330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6681330 is about 2584.8268800831. The cubic root of 6681330 is about 188.3450919817.

The spelling of 6681330 in words is "six million, six hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1217 1830 2434 2745 3651 5490 6085 7302 10953 12170 18255 21906 36510 54765 74237 109530 148474 222711 371185 445422 668133 742370 1113555 1336266 2227110 3340665 6681330