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1000974 = 231341313
BaseRepresentation
bin11110100011000001110
31212212002010
43310120032
5224012344
633242050
711336202
oct3643016
91785063
101000974
11624057
12403326
132907c0
141c0b02
1514b8b9
hexf460e

1000974 has 32 divisors (see below), whose sum is σ = 2215584. Its totient is φ = 299520.

The previous prime is 1000973. The next prime is 1000981. The reversal of 1000974 is 4790001.

1000974 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000973) 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, 3042 + ... + 3354.

It is an arithmetic number, because the mean of its divisors is an integer number (69237).

21000974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107792).

1000974 is an abundant number, since it is smaller than the sum of its proper divisors (1214610).

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

1000974 is a wasteful number, since it uses less digits than its factorization.

1000974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1000974 is about 1000.4868814732. The cubic root of 1000974 is about 100.0324561315.

Adding to 1000974 its reverse (4790001), we get a palindrome (5790975).

The spelling of 1000974 in words is "one million, nine hundred seventy-four", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 313 533 626 939 1066 1599 1878 3198 4069 8138 12207 12833 24414 25666 38499 76998 166829 333658 500487 1000974