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2008940 = 225100447
BaseRepresentation
bin111101010011101101100
310210001202012
413222131230
51003241230
6111020352
723034653
oct7523554
93701665
102008940
11115238a
1280a6b8
1355452b
143a419a
1529a395
hex1ea76c

2008940 has 12 divisors (see below), whose sum is σ = 4218816. Its totient is φ = 803568.

The previous prime is 2008939. The next prime is 2008949. The reversal of 2008940 is 498002.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2008949) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 50204 + ... + 50243.

It is an arithmetic number, because the mean of its divisors is an integer number (351568).

22008940 is an apocalyptic number.

2008940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008940 is an abundant number, since it is smaller than the sum of its proper divisors (2209876).

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

2008940 is a wasteful number, since it uses less digits than its factorization.

2008940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100456 (or 100454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2008940 is about 1417.3708053999. The cubic root of 2008940 is about 126.1795542034.

The spelling of 2008940 in words is "two million, eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 100447 200894 401788 502235 1004470 2008940