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2000208 = 24375953
BaseRepresentation
bin111101000010101010000
310202121202210
413220111100
51003001313
6110512120
723000340
oct7502520
93677683
102000208
111146871
12805640
13550572
143a0d20
152979c3
hex1e8550

2000208 has 40 divisors (see below), whose sum is σ = 5906368. Its totient is φ = 571392.

The previous prime is 2000177. The next prime is 2000209. The reversal of 2000208 is 8020002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2000193 and 2000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2641 + ... + 3312.

22000208 is an apocalyptic number.

2000208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2000208 is an abundant number, since it is smaller than the sum of its proper divisors (3906160).

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

2000208 is a wasteful number, since it uses less digits than its factorization.

2000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2000208 is about 1414.2870995664. The cubic root of 2000208 is about 125.9964725644.

It can be divided in two parts, 200020 and 8, that added together give a triangular number (200028 = T632).

The spelling of 2000208 in words is "two million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5953 11906 17859 23812 35718 41671 47624 71436 83342 95248 125013 142872 166684 250026 285744 333368 500052 666736 1000104 2000208