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1006116 = 22383843
BaseRepresentation
bin11110101101000100100
31220010010120
43311220210
5224143431
633321540
711360166
oct3655044
91803116
101006116
11627a01
124062b0
13292c47
141c2936
1514d196
hexf5a24

1006116 has 12 divisors (see below), whose sum is σ = 2347632. Its totient is φ = 335368.

The previous prime is 1006091. The next prime is 1006123. The reversal of 1006116 is 6116001.

1006116 is digitally balanced in base 2, 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 (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1006095 and 1006104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41910 + ... + 41933.

It is an arithmetic number, because the mean of its divisors is an integer number (195636).

21006116 is an apocalyptic number.

It is an amenable number.

1006116 is an abundant number, since it is smaller than the sum of its proper divisors (1341516).

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

1006116 is a wasteful number, since it uses less digits than its factorization.

1006116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83850 (or 83848 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1006116 is about 1003.0533385618. The cubic root of 1006116 is about 100.2034524569.

It can be divided in two parts, 100 and 6116, that added together give a triangular number (6216 = T111).

The spelling of 1006116 in words is "one million, six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 83843 167686 251529 335372 503058 1006116