Search a number
-
+
906036 = 22375503
BaseRepresentation
bin11011101001100110100
31201000211220
43131030310
5212443121
631230340
710462335
oct3351464
91630756
10906036
1156979a
123783b0
13259521
1419828c
1512d6c6
hexdd334

906036 has 12 divisors (see below), whose sum is σ = 2114112. Its totient is φ = 302008.

The previous prime is 906029. The next prime is 906043. The reversal of 906036 is 630609.

It is an interprime number because it is at equal distance from previous prime (906029) and next prime (906043).

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 905997 and 906015.

It is a congruent number.

It is an unprimeable number.

906036 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37740 + ... + 37763.

It is an arithmetic number, because the mean of its divisors is an integer number (176176).

2906036 is an apocalyptic number.

It is an amenable number.

906036 is an abundant number, since it is smaller than the sum of its proper divisors (1208076).

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

906036 is a wasteful number, since it uses less digits than its factorization.

906036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75510 (or 75508 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 906036 is about 951.8592332903. The cubic root of 906036 is about 96.7642982427.

It can be divided in two parts, 90603 and 6, that added together give a palindrome (90609).

The spelling of 906036 in words is "nine hundred six thousand, thirty-six".

Divisors: 1 2 3 4 6 12 75503 151006 226509 302012 453018 906036