Search a number
-
+
6773140 = 22511171811
BaseRepresentation
bin11001110101100110010100
3110202010000001
4121311212110
53213220030
6401101044
7111366523
oct31654624
913663001
106773140
113906840
122327784
131531b9a
14c844ba
158dbcca
hex675994

6773140 has 48 divisors (see below), whose sum is σ = 16438464. Its totient is φ = 2316800.

The previous prime is 6773131. The next prime is 6773147. The reversal of 6773140 is 413776.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6773099 and 6773108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6773147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835 + ... + 4645.

It is an arithmetic number, because the mean of its divisors is an integer number (342468).

Almost surely, 26773140 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 6773140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219232).

6773140 is an abundant number, since it is smaller than the sum of its proper divisors (9665324).

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

6773140 is a wasteful number, since it uses less digits than its factorization.

6773140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 6773140 is about 2602.5256963189. The cubic root of 6773140 is about 189.2038709731.

It can be divided in two parts, 6 and 773140, that added together give a triangular number (773146 = T1243).

The spelling of 6773140 in words is "six million, seven hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1811 1870 3622 3740 7244 9055 18110 19921 30787 36220 39842 61574 79684 99605 123148 153935 199210 307870 338657 398420 615740 677314 1354628 1693285 3386570 6773140