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2566160 = 24532077
BaseRepresentation
bin1001110010100000010000
311211101002222
421302200100
51124104120
6131000212
730545342
oct11624020
94741088
102566160
1114a2aa3
12a39068
136bb04c
144ab292
1535a525
hex272810

2566160 has 20 divisors (see below), whose sum is σ = 5966508. Its totient is φ = 1026432.

The previous prime is 2566141. The next prime is 2566163. The reversal of 2566160 is 616652.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 583696 = 1408^2 + 764^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2566163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15959 + ... + 16118.

22566160 is an apocalyptic number.

2566160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566160 is an abundant number, since it is smaller than the sum of its proper divisors (3400348).

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

2566160 is a wasteful number, since it uses less digits than its factorization.

2566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32090 (or 32084 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2566160 is about 1601.9238433833. The cubic root of 2566160 is about 136.9077113008.

The spelling of 2566160 in words is "two million, five hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32077 64154 128308 160385 256616 320770 513232 641540 1283080 2566160