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1006160 = 24512577
BaseRepresentation
bin11110101101001010000
31220010012012
43311221100
5224144120
633322052
711360261
oct3655120
91803165
101006160
11627a41
12406328
13292c7c
141c2968
1514d1c5
hexf5a50

1006160 has 20 divisors (see below), whose sum is σ = 2339508. Its totient is φ = 402432.

The previous prime is 1006153. The next prime is 1006163. The reversal of 1006160 is 616001.

1006160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 327184 = 824^2 + 572^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006163) 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, 6209 + ... + 6368.

21006160 is an apocalyptic number.

1006160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006160 is an abundant number, since it is smaller than the sum of its proper divisors (1333348).

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

1006160 is a wasteful number, since it uses less digits than its factorization.

1006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1006160 is about 1003.0752713531. The cubic root of 1006160 is about 100.2049131525.

The spelling of 1006160 in words is "one million, six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12577 25154 50308 62885 100616 125770 201232 251540 503080 1006160