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1006012 = 227193161
BaseRepresentation
bin11110101100110111100
31220002222201
43311212330
5224143022
633321244
711356660
oct3654674
91802881
101006012
11627917
12406224
13292b97
141c28a0
1514d127
hexf59bc

1006012 has 48 divisors (see below), whose sum is σ = 2222080. Its totient is φ = 388800.

The previous prime is 1006007. The next prime is 1006021. The reversal of 1006012 is 2106001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16462 + ... + 16522.

21006012 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 1006012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111040).

1006012 is an abundant number, since it is smaller than the sum of its proper divisors (1216068).

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

1006012 is a wasteful number, since it uses less digits than its factorization.

1006012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1006012 is about 1003.0014955123. The cubic root of 1006012 is about 100.1999997344.

The spelling of 1006012 in words is "one million, six thousand, twelve".

Divisors: 1 2 4 7 14 19 28 31 38 61 62 76 122 124 133 217 244 266 427 434 532 589 854 868 1159 1178 1708 1891 2318 2356 3782 4123 4636 7564 8113 8246 13237 16226 16492 26474 32452 35929 52948 71858 143716 251503 503006 1006012