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6438740 = 22571137113
BaseRepresentation
bin11000100011111101010100
3110010010021212
4120203331110
53122014430
6350000552
7105504560
oct30437524
913103255
106438740
1136a8580
1221a6158
131445909
14bd86a0
15872b95
hex623f54

6438740 has 96 divisors (see below), whose sum is σ = 17466624. Its totient is φ = 1935360.

The previous prime is 6438721. The next prime is 6438749. The reversal of 6438740 is 478346.

It is a happy number.

6438740 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

6438740 is a nontrivial binomial coefficient, being equal to C(113, 4).

It is a super-3 number, since 3×64387403 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6438697 and 6438706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6438749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56924 + ... + 57036.

It is an arithmetic number, because the mean of its divisors is an integer number (181944).

Almost surely, 26438740 is an apocalyptic number.

6438740 is the 2072-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733312).

6438740 is an abundant number, since it is smaller than the sum of its proper divisors (11027884).

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

6438740 is a wasteful number, since it uses less digits than its factorization.

6438740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 6438740 is about 2537.4672411679. The cubic root of 6438740 is about 186.0374149113.

The spelling of 6438740 in words is "six million, four hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 113 140 148 154 185 220 226 259 308 370 385 407 452 518 565 740 770 791 814 1036 1130 1243 1295 1540 1582 1628 2035 2260 2486 2590 2849 3164 3955 4070 4181 4972 5180 5698 6215 7910 8140 8362 8701 11396 12430 14245 15820 16724 17402 20905 24860 28490 29267 34804 41810 43505 45991 56980 58534 83620 87010 91982 117068 146335 174020 183964 229955 292670 321937 459910 585340 643874 919820 1287748 1609685 3219370 6438740