Search a number
-
+
1006071 = 31143709
BaseRepresentation
bin11110101100111110111
31220010001220
43311213313
5224143241
633321423
711360103
oct3654767
91803056
101006071
11627970
12406273
13292c11
141c2903
1514d166
hexf59f7

1006071 has 16 divisors (see below), whose sum is σ = 1499520. Its totient is φ = 594720.

The previous prime is 1006063. The next prime is 1006087. The reversal of 1006071 is 1706001.

1006071 is a nontrivial binomial coefficient, being equal to C(1419, 2).

It is not a de Polignac number, because 1006071 - 23 = 1006063 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065 + ... + 1773.

It is an arithmetic number, because the mean of its divisors is an integer number (93720).

21006071 is an apocalyptic number.

1006071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1006071 is the 1418-th triangular number.

1006071 is a deficient number, since it is larger than the sum of its proper divisors (493449).

1006071 is a wasteful number, since it uses less digits than its factorization.

1006071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1006071 is about 1003.0309068020. The cubic root of 1006071 is about 100.2019585197.

The spelling of 1006071 in words is "one million, six thousand, seventy-one".

Divisors: 1 3 11 33 43 129 473 709 1419 2127 7799 23397 30487 91461 335357 1006071