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6443040 = 253531433
BaseRepresentation
bin11000100101000000100000
3110010100012010
4120211000200
53122134130
6350032520
7105523242
oct30450040
913110163
106443040
11370082a
1221a8740
131447866
14bda092
158740b0
hex625020

6443040 has 96 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 1658880.

The previous prime is 6443011. The next prime is 6443081. The reversal of 6443040 is 403446.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6442998 and 6443016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14664 + ... + 15096.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 26443040 is an apocalyptic number.

6443040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

6443040 is an abundant number, since it is smaller than the sum of its proper divisors (14555616).

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

6443040 is a wasteful number, since it uses less digits than its factorization.

6443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6443040 is about 2538.3144013301. The cubic root of 6443040 is about 186.0788196411.

Adding to 6443040 its reverse (403446), we get a palindrome (6846486).

The spelling of 6443040 in words is "six million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 433 465 480 496 620 744 866 930 992 1240 1299 1488 1732 1860 2165 2480 2598 2976 3464 3720 4330 4960 5196 6495 6928 7440 8660 10392 12990 13423 13856 14880 17320 20784 25980 26846 34640 40269 41568 51960 53692 67115 69280 80538 103920 107384 134230 161076 201345 207840 214768 268460 322152 402690 429536 536920 644304 805380 1073840 1288608 1610760 2147680 3221520 6443040