Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
100002 = 2372381
BaseRepresentation
bin11000011010100010
312002011210
4120122202
511200002
62050550
7564360
oct303242
9162153
10100002
1169151
1249a56
1336696
1428630
151e96c
hex186a2

100002 has 16 divisors (see below), whose sum is σ = 228672. Its totient is φ = 28560.

The previous prime is 99991. The next prime is 100003. The reversal of 100002 is 200001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100002.

It is not an unprimeable number, because it can be changed into a prime (100003) by changing a digit.

100002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 1232.

It is an arithmetic number, because the mean of its divisors is an integer number (14292).

2100002 is an apocalyptic number.

100002 is an abundant number, since it is smaller than the sum of its proper divisors (128670).

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

100002 is a wasteful number, since it uses less digits than its factorization.

100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393.

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 100002 is about 316.2309282787. The cubic root of 100002 is about 46.4161977733.

Adding to 100002 its reverse (200001), we get a palindrome (300003).

Subtracting 100002 from its reverse (200001), we obtain a palindrome (99999).

Multiplying 100002 by its reverse (200001), we get a palindrome (20000500002).

The spelling of 100002 in words is "one hundred thousand, two", and thus it is an iban number.

Divisors: 1 2 3 6 7 14 21 42 2381 4762 7143 14286 16667 33334 50001 100002