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6706440 = 23325131433
BaseRepresentation
bin11001100101010100001000
3110121201111200
4121211110020
53204101230
6355424200
7111001206
oct31452410
913551450
106706440
113870714
1222b5060
13150a710
14c68076
158c7160
hex665508

6706440 has 96 divisors (see below), whose sum is σ = 23488920. Its totient is φ = 1649664.

The previous prime is 6706423. The next prime is 6706459. The reversal of 6706440 is 446076.

It can be written as a sum of positive squares in 4 ways, for example, as 5280804 + 1425636 = 2298^2 + 1194^2 .

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, 3964 + ... + 5396.

Almost surely, 26706440 is an apocalyptic number.

6706440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6706440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744460).

6706440 is an abundant number, since it is smaller than the sum of its proper divisors (16782480).

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

6706440 is a wasteful number, since it uses less digits than its factorization.

6706440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6706440 is about 2589.6795168515. The cubic root of 6706440 is about 188.5807453091.

The spelling of 6706440 in words is "six million, seven hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1433 1560 2340 2866 4299 4680 5732 7165 8598 11464 12897 14330 17196 18629 21495 25794 28660 34392 37258 42990 51588 55887 57320 64485 74516 85980 93145 103176 111774 128970 149032 167661 171960 186290 223548 257940 279435 335322 372580 447096 515880 558870 670644 745160 838305 1117740 1341288 1676610 2235480 3353220 6706440