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6078240 = 25345767
BaseRepresentation
bin10111001011111100100000
3102102210210000
4113023330200
53024000430
6334140000
7102443550
oct27137440
912383700
106078240
113481743
122051600
13134a7bc
14b43160
15800e60
hex5cbf20

6078240 has 240 divisors, whose sum is σ = 24881472. Its totient is φ = 1368576.

The previous prime is 6078227. The next prime is 6078251. The reversal of 6078240 is 428706.

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

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

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, 90687 + ... + 90753.

Almost surely, 26078240 is an apocalyptic number.

6078240 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 6078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440736).

6078240 is an abundant number, since it is smaller than the sum of its proper divisors (18803232).

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

6078240 is a wasteful number, since it uses less digits than its factorization.

6078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6078240 is about 2465.4086882300. The cubic root of 6078240 is about 182.4984925127.

The spelling of 6078240 in words is "six million, seventy-eight thousand, two hundred forty".