Search a number
-
+
2103816 = 2331113613
BaseRepresentation
bin1000000001101000001000
310221212220010
420001220020
51014310231
6113031520
723611401
oct10015010
93855803
102103816
1112076a0
128555a0
13588780
143ca9a8
152b8546
hex201a08

2103816 has 64 divisors (see below), whose sum is σ = 6189120. Its totient is φ = 587520.

The previous prime is 2103811. The next prime is 2103817. The reversal of 2103816 is 6183012.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2103792 and 2103801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3126 + ... + 3738.

It is an arithmetic number, because the mean of its divisors is an integer number (96705).

22103816 is an apocalyptic number.

2103816 is a gapful number since it is divisible by the number (26) 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 2103816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094560).

2103816 is an abundant number, since it is smaller than the sum of its proper divisors (4085304).

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

2103816 is a wasteful number, since it uses less digits than its factorization.

2103816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2103816 is about 1450.4537221159. The cubic root of 2103816 is about 128.1354360724.

Adding to 2103816 its reverse (6183012), we get a palindrome (8286828).

The spelling of 2103816 in words is "two million, one hundred three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 613 858 1144 1226 1716 1839 2452 3432 3678 4904 6743 7356 7969 13486 14712 15938 20229 23907 26972 31876 40458 47814 53944 63752 80916 87659 95628 161832 175318 191256 262977 350636 525954 701272 1051908 2103816