[go: up one dir, main page]

Search a number
-
+
6981660 = 2233571847
BaseRepresentation
bin11010101000100000011100
3111010201001000
4122220200130
53241403120
6405350300
7113225460
oct32504034
914121030
106981660
113a39474
122408390
1315a5a7a
14cda4a0
1592d990
hex6a881c

6981660 has 96 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 1594944.

The previous prime is 6981659. The next prime is 6981661. The reversal of 6981660 is 661896.

6981660 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6981659) and next prime (6981661).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857 + ... + 4703.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 26981660 is an apocalyptic number.

6981660 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 6981660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

6981660 is an abundant number, since it is smaller than the sum of its proper divisors (17855460).

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

6981660 is a wasteful number, since it uses less digits than its factorization.

6981660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6981660 is about 2642.2831036814. The cubic root of 6981660 is about 191.1259095065.

The spelling of 6981660 in words is "six million, nine hundred eighty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1847 1890 3694 3780 5541 7388 9235 11082 12929 16623 18470 22164 25858 27705 33246 36940 38787 49869 51716 55410 64645 66492 77574 83115 99738 110820 116361 129290 155148 166230 193935 199476 232722 249345 258580 332460 349083 387870 465444 498690 581805 698166 775740 997380 1163610 1396332 1745415 2327220 3490830 6981660