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6066080 = 255311223
BaseRepresentation
bin10111001000111110100000
3102102012002122
4113020332200
53023103310
6334003412
7102363236
oct27107640
912365078
106066080
113473599
122046568
1313450c7
14b3c956
157ec555
hex5c8fa0

6066080 has 48 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 2346240.

The previous prime is 6066079. The next prime is 6066083. The reversal of 6066080 is 806606.

It is not an unprimeable number, because it can be changed into a prime (6066083) 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 7 ways as a sum of consecutive naturals, for example, 4349 + ... + 5571.

It is an arithmetic number, because the mean of its divisors is an integer number (308448).

Almost surely, 26066080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

6066080 is an abundant number, since it is smaller than the sum of its proper divisors (8739424).

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

6066080 is a wasteful number, since it uses less digits than its factorization.

6066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 6066080 is about 2462.9413310105. The cubic root of 6066080 is about 182.3767103741.

The spelling of 6066080 in words is "six million, sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1223 1240 2446 2480 4892 4960 6115 9784 12230 19568 24460 37913 39136 48920 75826 97840 151652 189565 195680 303304 379130 606608 758260 1213216 1516520 3033040 6066080