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6060768 = 253729311
BaseRepresentation
bin10111000111101011100000
3102101220210220
4113013223200
53022421033
6333523040
7102341610
oct27075340
912356726
106060768
11346a5aa
122043480
13134286c
14b3aa40
157eabb3
hex5c7ae0

6060768 has 96 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1666560.

The previous prime is 6060757. The next prime is 6060781. The reversal of 6060768 is 8670606.

6060768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19333 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 26060768 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 6060768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

6060768 is an abundant number, since it is smaller than the sum of its proper divisors (12808992).

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

6060768 is a wasteful number, since it uses less digits than its factorization.

6060768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6060768 is about 2461.8627094133. The cubic root of 6060768 is about 182.3234597296.

The spelling of 6060768 in words is "six million, sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 311 336 348 406 464 609 622 672 696 812 928 933 1218 1244 1392 1624 1866 2177 2436 2488 2784 3248 3732 4354 4872 4976 6496 6531 7464 8708 9019 9744 9952 13062 14928 17416 18038 19488 26124 27057 29856 34832 36076 52248 54114 63133 69664 72152 104496 108228 126266 144304 189399 208992 216456 252532 288608 378798 432912 505064 757596 865824 1010128 1515192 2020256 3030384 6060768