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2030208 = 27317311
BaseRepresentation
bin111101111101010000000
310211010220220
413233222000
51004431313
6111303040
723153655
oct7575200
93733826
102030208
111167364
1281aa80
1356110b
143abc2c
152a1823
hex1efa80

2030208 has 64 divisors (see below), whose sum is σ = 5728320. Its totient is φ = 634880.

The previous prime is 2030183. The next prime is 2030209. The reversal of 2030208 is 8020302.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2030209) 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, 6373 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

22030208 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 2030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864160).

2030208 is an abundant number, since it is smaller than the sum of its proper divisors (3698112).

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

2030208 is a wasteful number, since it uses less digits than its factorization.

2030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2030208 is about 1424.8536766981. The cubic root of 2030208 is about 126.6232661407.

The spelling of 2030208 in words is "two million, thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 311 384 408 544 622 816 933 1088 1244 1632 1866 2176 2488 3264 3732 4976 5287 6528 7464 9952 10574 14928 15861 19904 21148 29856 31722 39808 42296 59712 63444 84592 119424 126888 169184 253776 338368 507552 676736 1015104 2030208