Search a number
-
+
1006074 = 23331601
BaseRepresentation
bin11110101100111111010
31220010002000
43311213322
5224143244
633321430
711360106
oct3654772
91803060
101006074
11627973
12406276
13292c14
141c2906
1514d169
hexf59fa

1006074 has 32 divisors (see below), whose sum is σ = 2311680. Its totient is φ = 324000.

The previous prime is 1006063. The next prime is 1006087. The reversal of 1006074 is 4706001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374 + ... + 1974.

It is an arithmetic number, because the mean of its divisors is an integer number (72240).

21006074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155840).

1006074 is an abundant number, since it is smaller than the sum of its proper divisors (1305606).

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

1006074 is a wasteful number, since it uses less digits than its factorization.

1006074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1006074 is about 1003.0324022682. The cubic root of 1006074 is about 100.2020581169.

The spelling of 1006074 in words is "one million, six thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 601 837 1202 1674 1803 3606 5409 10818 16227 18631 32454 37262 55893 111786 167679 335358 503037 1006074