Search a number
-
+
6426309840 = 243526776291
BaseRepresentation
bin1011111110000100…
…11011010011010000
3121120212020100211120
411333002123103100
5101130113403330
62541402042240
7315151506126
oct57702332320
917525210746
106426309840
1127a8536775
1212b41a9380
137b54bc802
1444d6a1916
15279296c10
hex17f09b4d0

6426309840 has 40 divisors (see below), whose sum is σ = 19921561248. Its totient is φ = 1713682560.

The previous prime is 6426309811. The next prime is 6426309847. The reversal of 6426309840 is 489036246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 6426309792 and 6426309801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6426309847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13387906 + ... + 13388385.

Almost surely, 26426309840 is an apocalyptic number.

6426309840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6426309840 is an abundant number, since it is smaller than the sum of its proper divisors (13495251408).

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

6426309840 is a wasteful number, since it uses less digits than its factorization.

6426309840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26776307 (or 26776301 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6426309840 is about 80164.2678504582. The cubic root of 6426309840 is about 1859.1762105261.

The spelling of 6426309840 in words is "six billion, four hundred twenty-six million, three hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 26776291 53552582 80328873 107105164 133881455 160657746 214210328 267762910 321315492 401644365 428420656 535525820 642630984 803288730 1071051640 1285261968 1606577460 2142103280 3213154920 6426309840