Search a number
-
+
6743399040 = 27345718583
BaseRepresentation
bin1100100011111000…
…00001101010000000
3122101221220011110000
412101330001222000
5102302302232130
63033050240000
7326051642340
oct62174015200
918357804400
106743399040
112950522564
121382426000
138360c1b61
1447d842d20
1529702e260
hex191f01a80

6743399040 has 320 divisors, whose sum is σ = 27523647360. Its totient is φ = 1541265408.

The previous prime is 6743399011. The next prime is 6743399051. The reversal of 6743399040 is 409933476.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×67433990402 = 90946861225345843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353589 + ... + 372171.

It is an arithmetic number, because the mean of its divisors is an integer number (86011398).

Almost surely, 26743399040 is an apocalyptic number.

6743399040 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 6743399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761823680).

6743399040 is an abundant number, since it is smaller than the sum of its proper divisors (20780248320).

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

6743399040 is a wasteful number, since it uses less digits than its factorization.

6743399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18621 (or 18600 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6743399040 is about 82118.2016364216. The cubic root of 6743399040 is about 1889.2653229204.

The spelling of 6743399040 in words is "six billion, seven hundred forty-three million, three hundred ninety-nine thousand, forty".