Search a number
-
+
1006002 = 23255889
BaseRepresentation
bin11110101100110110010
31220002222100
43311212302
5224143002
633321230
711356644
oct3654662
91802870
101006002
11627908
12406216
13292b8a
141c2894
1514d11c
hexf59b2

1006002 has 12 divisors (see below), whose sum is σ = 2179710. Its totient is φ = 335328.

The previous prime is 1005989. The next prime is 1006003. The reversal of 1006002 is 2006001.

It can be written as a sum of positive squares in only one way, i.e., 670761 + 335241 = 819^2 + 579^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1006003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27927 + ... + 27962.

21006002 is an apocalyptic number.

1006002 is an abundant number, since it is smaller than the sum of its proper divisors (1173708).

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

1006002 is a wasteful number, since it uses less digits than its factorization.

1006002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55897 (or 55894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1006002 is about 1002.9965104625. The cubic root of 1006002 is about 100.1996677293.

Subtracting 1006002 from its reverse (2006001), we obtain a palindrome (999999).

The spelling of 1006002 in words is "one million, six thousand, two".

Divisors: 1 2 3 6 9 18 55889 111778 167667 335334 503001 1006002