Search a number
-
+
2100819 = 37711409
BaseRepresentation
bin1000000000111001010011
310221201210010
420000321103
51014211234
6113010003
723566560
oct10007123
93851703
102100819
111205416
12853903
135872b6
143c9867
152b76e9
hex200e53

2100819 has 16 divisors (see below), whose sum is σ = 3248640. Its totient is φ = 1182720.

The previous prime is 2100803. The next prime is 2100821. The reversal of 2100819 is 9180012.

It is not a de Polignac number, because 2100819 - 24 = 2100803 is a prime.

It is a super-2 number, since 2×21008192 = 8826880941522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2100795 and 2100804.

It is not an unprimeable number, because it can be changed into a prime (2100859) 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, 787 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (203040).

22100819 is an apocalyptic number.

2100819 is a deficient number, since it is larger than the sum of its proper divisors (1147821).

2100819 is a wasteful number, since it uses less digits than its factorization.

2100819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2100819 is about 1449.4202289191. The cubic root of 2100819 is about 128.0745618642.

The spelling of 2100819 in words is "two million, one hundred thousand, eight hundred nineteen".

Divisors: 1 3 7 21 71 213 497 1409 1491 4227 9863 29589 100039 300117 700273 2100819