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6061440 = 273571141
BaseRepresentation
bin10111000111110110000000
3102101221201210
4113013312000
53022431230
6333530120
7102343560
oct27076600
912357653
106061440
113470060
122043940
131342c68
14b3ada0
157eaeb0
hex5c7d80

6061440 has 256 divisors, whose sum is σ = 24675840. Its totient is φ = 1228800.

The previous prime is 6061439. The next prime is 6061441. The reversal of 6061440 is 441606.

It is an interprime number because it is at equal distance from previous prime (6061439) and next prime (6061441).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6061441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147820 + ... + 147860.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 26061440 is an apocalyptic number.

6061440 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 6061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

6061440 is an abundant number, since it is smaller than the sum of its proper divisors (18614400).

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

6061440 is a wasteful number, since it uses less digits than its factorization.

6061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6061440 is about 2461.9991876522. Note that the first 3 decimals coincide. The cubic root of 6061440 is about 182.3301979756.

It can be divided in two parts, 60 and 61440, that multiplied together give a square (3686400 = 19202).

The spelling of 6061440 in words is "six million, sixty-one thousand, four hundred forty".