Search a number
-
+
6400008 = 2332103863
BaseRepresentation
bin11000011010100000001000
3110001011011100
4120122200020
53114300013
6345101400
7105253626
oct30324010
913034140
106400008
11368146a
122187860
1314310b4
14bc8516
15866473
hex61a808

6400008 has 48 divisors (see below), whose sum is σ = 17521920. Its totient is φ = 2110176.

The previous prime is 6399971. The next prime is 6400013. The reversal of 6400008 is 8000046.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 6985 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (365040).

Almost surely, 26400008 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 6400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8760960).

6400008 is an abundant number, since it is smaller than the sum of its proper divisors (11121912).

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

6400008 is a wasteful number, since it uses less digits than its factorization.

6400008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6400008 is about 2529.8237092730. The cubic root of 6400008 is about 185.6636307043.

The spelling of 6400008 in words is "six million, four hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 863 927 1236 1726 1854 2472 2589 3452 3708 5178 6904 7416 7767 10356 15534 20712 31068 62136 88889 177778 266667 355556 533334 711112 800001 1066668 1600002 2133336 3200004 6400008