Search a number
-
+
2005108 = 227193769
BaseRepresentation
bin111101001100001110100
310202212111021
413221201310
51003130413
6110550524
723020540
oct7514164
93685437
102005108
11114a516
12808444
13552871
143a2a20
1529918d
hex1e9874

2005108 has 24 divisors (see below), whose sum is σ = 4222400. Its totient is φ = 813888.

The previous prime is 2005103. The next prime is 2005121. The reversal of 2005108 is 8015002.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2005091 and 2005100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1353 + ... + 2416.

22005108 is an apocalyptic number.

2005108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2005108 is an abundant number, since it is smaller than the sum of its proper divisors (2217292).

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

2005108 is a wasteful number, since it uses less digits than its factorization.

2005108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2005108 is about 1416.0183614629. The cubic root of 2005108 is about 126.0992750824.

The spelling of 2005108 in words is "two million, five thousand, one hundred eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 3769 7538 15076 26383 52766 71611 105532 143222 286444 501277 1002554 2005108