Search a number
2000100 = 2235259113
BaseRepresentation
bin111101000010011100100
310202121121210
413220103210
51003000400
6110511420
723000124
oct7502344
93677553
102000100
111146783
12805570
135504bb
143a0c84
15297950
hex1e84e4

2000100 has 72 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 519680.

The previous prime is 2000093. The next prime is 2000107. The reversal of 2000100 is 10002.

Adding to 2000100 its reverse (10002), we get a palindrome (2010102).

It is an interprime number because it is at equal distance from previous prime (2000093) and next prime (2000107).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17644 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

22000100 is an apocalyptic number.

2000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2000100 is an abundant number, since it is smaller than the sum of its proper divisors (3937020).

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

2000100 is a wasteful number, since it uses less digits than its factorization.

2000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

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

The square root of 2000100 is about 1414.2489172702. The cubic root of 2000100 is about 125.9942048229.

The spelling of 2000100 in words is "two million, one hundred", and thus it is an aban number.