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1006866 = 232761131
BaseRepresentation
bin11110101110100010010
31220011011100
43311310102
5224204431
633325230
711362320
oct3656422
91804140
101006866
11628523
12406816
132933a3
141c2d10
1514d4e6
hexf5d12

1006866 has 48 divisors (see below), whose sum is σ = 2553408. Its totient is φ = 280800.

The previous prime is 1006861. The next prime is 1006877. The reversal of 1006866 is 6686001.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006861) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7621 + ... + 7751.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

21006866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276704).

1006866 is an abundant number, since it is smaller than the sum of its proper divisors (1546542).

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

1006866 is a wasteful number, since it uses less digits than its factorization.

1006866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1006866 is about 1003.4271273989. The cubic root of 1006866 is about 100.2283448561.

The spelling of 1006866 in words is "one million, six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 131 183 262 366 393 427 549 786 854 917 1098 1179 1281 1834 2358 2562 2751 3843 5502 7686 7991 8253 15982 16506 23973 47946 55937 71919 111874 143838 167811 335622 503433 1006866