Search a number
-
+
6389440 = 26541487
BaseRepresentation
bin11000010111111011000000
3110000121122221
4120113323000
53113430230
6344540424
7105211051
oct30277300
913017587
106389440
113674532
122181714
131429345
14bc4728
1586327a
hex617ec0

6389440 has 56 divisors (see below), whose sum is σ = 15617952. Its totient is φ = 2488320.

The previous prime is 6389431. The next prime is 6389443. The reversal of 6389440 is 449836.

It is a junction number, because it is equal to n+sod(n) for n = 6389396 and 6389405.

It is not an unprimeable number, because it can be changed into a prime (6389443) 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 7 ways as a sum of consecutive naturals, for example, 12877 + ... + 13363.

It is an arithmetic number, because the mean of its divisors is an integer number (278892).

Almost surely, 26389440 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 6389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808976).

6389440 is an abundant number, since it is smaller than the sum of its proper divisors (9228512).

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

6389440 is a wasteful number, since it uses less digits than its factorization.

6389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6389440 is about 2527.7341632379. The cubic root of 6389440 is about 185.5613821754.

The spelling of 6389440 in words is "six million, three hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 487 656 820 974 1312 1640 1948 2435 2624 3280 3896 4870 6560 7792 9740 13120 15584 19480 19967 31168 38960 39934 77920 79868 99835 155840 159736 199670 319472 399340 638944 798680 1277888 1597360 3194720 6389440