[go: up one dir, main page]

Search a number
-
+
2013804 = 2232132331
BaseRepresentation
bin111101011101001101100
310210022102100
413223221230
51003420204
6111055100
723055102
oct7535154
93708370
102013804
111156001
12811490
13556800
143a5c72
1529ba39
hex1eba6c

2013804 has 54 divisors (see below), whose sum is σ = 5528796. Its totient is φ = 617760.

The previous prime is 2013787. The next prime is 2013821. The reversal of 2013804 is 4083102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013787) and next prime (2013821).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5919 + ... + 6249.

22013804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764398).

2013804 is an abundant number, since it is smaller than the sum of its proper divisors (3514992).

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

2013804 is a wasteful number, since it uses less digits than its factorization.

2013804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013804 is about 1419.0856210955. The cubic root of 2013804 is about 126.2813064865.

Adding to 2013804 its reverse (4083102), we get a palindrome (6096906).

It can be divided in two parts, 201 and 3804, that added together give a triangular number (4005 = T89).

The spelling of 2013804 in words is "two million, thirteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 331 338 468 507 662 676 993 1014 1324 1521 1986 2028 2979 3042 3972 4303 5958 6084 8606 11916 12909 17212 25818 38727 51636 55939 77454 111878 154908 167817 223756 335634 503451 671268 1006902 2013804