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1008056 = 23747383
BaseRepresentation
bin11110110000110111000
31220012210102
43312012320
5224224211
633334532
711365640
oct3660670
91805712
101008056
11629405
12407448
13293aaa
141c3520
1514da3b
hexf61b8

1008056 has 32 divisors (see below), whose sum is σ = 2211840. Its totient is φ = 421728.

The previous prime is 1008043. The next prime is 1008101. The reversal of 1008056 is 6508001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2441 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (69120).

21008056 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 1008056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105920).

1008056 is an abundant number, since it is smaller than the sum of its proper divisors (1203784).

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

1008056 is a wasteful number, since it uses less digits than its factorization.

1008056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1008056 is about 1004.0199201211. The cubic root of 1008056 is about 100.2678154419.

Subtracting 1008056 from its reverse (6508001), we obtain a palindrome (5499945).

The spelling of 1008056 in words is "one million, eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 383 658 766 1316 1532 2632 2681 3064 5362 10724 18001 21448 36002 72004 126007 144008 252014 504028 1008056