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6080106240 = 28345132347
BaseRepresentation
bin1011010100110011…
…10000111100000000
3120200201210101210000
411222121300330000
544423001344430
62443153440000
7303446023155
oct55231607400
916621711700
106080106240
11264007489a
121218270000
1375b865600
1441970222c
15258bace60
hex16a670f00

6080106240 has 540 divisors, whose sum is σ = 23625872424. Its totient is φ = 1492328448.

The previous prime is 6080106203. The next prime is 6080106251. The reversal of 6080106240 is 426010806.

6080106240 is a `hidden beast` number, since 608 + 0 + 10 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17521747 + ... + 17522093.

Almost surely, 26080106240 is an apocalyptic number.

6080106240 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 6080106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812936212).

6080106240 is an abundant number, since it is smaller than the sum of its proper divisors (17545766184).

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

6080106240 is a wasteful number, since it uses less digits than its factorization.

6080106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6080106240 is about 77975.0360051215. The cubic root of 6080106240 is about 1825.1716848555.

The spelling of 6080106240 in words is "six billion, eighty million, one hundred six thousand, two hundred forty".