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20080768 = 27592659
BaseRepresentation
bin100110010011…
…0100010000000
31101210012122011
41030212202000
520120041033
61554222304
7332453341
oct114464200
941705564
1020080768
1110375a84
126884994
134211116
14294a0c8
151b69ccd
hex1326880

20080768 has 32 divisors (see below), whose sum is σ = 40698000. Its totient is φ = 9866496.

The previous prime is 20080763. The next prime is 20080783. The reversal of 20080768 is 86708002.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (20080763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6223 + ... + 8881.

Almost surely, 220080768 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 20080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349000).

20080768 is an abundant number, since it is smaller than the sum of its proper divisors (20617232).

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

20080768 is an equidigital number, since it uses as much as digits as its factorization.

20080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 20080768 is about 4481.1569934560. The cubic root of 20080768 is about 271.8066676907.

The spelling of 20080768 in words is "twenty million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 2659 3776 5318 7552 10636 21272 42544 85088 156881 170176 313762 340352 627524 1255048 2510096 5020192 10040384 20080768