Search a number
-
+
6987780 = 2232538821
BaseRepresentation
bin11010101010000000000100
3111011000102200
4122222000010
53242102110
6405434500
7113252352
oct32520004
914130380
106987780
113a43028
12240ba30
1315a87a7
14cdc7d2
159306c0
hex6aa004

6987780 has 36 divisors (see below), whose sum is σ = 21196812. Its totient is φ = 1863360.

The previous prime is 6987769. The next prime is 6987793. The reversal of 6987780 is 877896.

It can be written as a sum of positive squares in 2 ways, for example, as 3392964 + 3594816 = 1842^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19231 + ... + 19590.

Almost surely, 26987780 is an apocalyptic number.

6987780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6987780 is an abundant number, since it is smaller than the sum of its proper divisors (14209032).

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

6987780 is a wasteful number, since it uses less digits than its factorization.

6987780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38836 (or 38831 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 6987780 is about 2643.4409393819. The cubic root of 6987780 is about 191.1817390635.

The spelling of 6987780 in words is "six million, nine hundred eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 38821 77642 116463 155284 194105 232926 349389 388210 465852 582315 698778 776420 1164630 1397556 1746945 2329260 3493890 6987780