Search a number
-
+
6730606080 = 293251126557
BaseRepresentation
bin1100100010010110…
…01110011000000000
3122101001211012210200
412101023032120000
5102241013343310
63031512125200
7325535131152
oct62113163000
918331735720
106730606080
112944284a70
12137a096800
13833562c63
1447bc72ad2
15295d539c0
hex1912ce600

6730606080 has 240 divisors, whose sum is σ = 25430028624. Its totient is φ = 1631600640.

The previous prime is 6730606073. The next prime is 6730606093. The reversal of 6730606080 is 806060376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×67306060803 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240162 + ... + 266718.

Almost surely, 26730606080 is an apocalyptic number.

6730606080 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 6730606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715014312).

6730606080 is an abundant number, since it is smaller than the sum of its proper divisors (18699422544).

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

6730606080 is a wasteful number, since it uses less digits than its factorization.

6730606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26597 (or 26578 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6730606080 is about 82040.2710868266. The cubic root of 6730606080 is about 1888.0698528211.

The spelling of 6730606080 in words is "six billion, seven hundred thirty million, six hundred six thousand, eighty".