Search a number
-
+
6402740 = 2252331449
BaseRepresentation
bin11000011011001010110100
3110001021220112
4120123022310
53114341430
6345122152
7105264611
oct30331264
913037815
106402740
113683523
122189358
131432406
14bc9508
15867195
hex61b2b4

6402740 has 48 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 2365440.

The previous prime is 6402733. The next prime is 6402751. The reversal of 6402740 is 472046.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14036 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 26402740 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 6402740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

6402740 is an abundant number, since it is smaller than the sum of its proper divisors (8112460).

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

6402740 is a wasteful number, since it uses less digits than its factorization.

6402740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 6402740 is about 2530.3636102347. The cubic root of 6402740 is about 185.6900453005.

Adding to 6402740 its reverse (472046), we get a palindrome (6874786).

The spelling of 6402740 in words is "six million, four hundred two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 449 460 620 713 898 1426 1796 2245 2852 3565 4490 7130 8980 10327 13919 14260 20654 27838 41308 51635 55676 69595 103270 139190 206540 278380 320137 640274 1280548 1600685 3201370 6402740