Search a number
-
+
6493140 = 2232536073
BaseRepresentation
bin11000110001001111010100
3110012212220200
4120301033110
53130240030
6351100500
7106122303
oct30611724
913185820
106493140
113735435
122211730
1314645c4
14c1043a
15883d60
hex6313d4

6493140 has 36 divisors (see below), whose sum is σ = 19696404. Its totient is φ = 1731456.

The previous prime is 6493139. The next prime is 6493141. The reversal of 6493140 is 413946.

6493140 is a `hidden beast` number, since 649 + 3 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6493139) and next prime (6493141).

It can be written as a sum of positive squares in 2 ways, for example, as 4384836 + 2108304 = 2094^2 + 1452^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17857 + ... + 18216.

Almost surely, 26493140 is an apocalyptic number.

6493140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6493140 is an abundant number, since it is smaller than the sum of its proper divisors (13203264).

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

6493140 is a wasteful number, since it uses less digits than its factorization.

6493140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36088 (or 36083 counting only the distinct ones).

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

The square root of 6493140 is about 2548.1640449547. The cubic root of 6493140 is about 186.5598808164.

The spelling of 6493140 in words is "six million, four hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 36073 72146 108219 144292 180365 216438 324657 360730 432876 541095 649314 721460 1082190 1298628 1623285 2164380 3246570 6493140