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2990208 = 27313599
BaseRepresentation
bin1011011010000010000000
312121220210110
423122002000
51231141313
6144031320
734262544
oct13320200
95556713
102990208
111762651
121002540
13809070
1457ba24
153e0ec3
hex2da080

2990208 has 64 divisors (see below), whose sum is σ = 8568000. Its totient is φ = 918528.

The previous prime is 2990191. The next prime is 2990213. The reversal of 2990208 is 8020992.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4693 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (133875).

22990208 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 2990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284000).

2990208 is an abundant number, since it is smaller than the sum of its proper divisors (5577792).

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

2990208 is a wasteful number, since it uses less digits than its factorization.

2990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2990208 is about 1729.2217902860. The cubic root of 2990208 is about 144.0678692418.

The spelling of 2990208 in words is "two million, nine hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 599 624 832 1198 1248 1664 1797 2396 2496 3594 4792 4992 7188 7787 9584 14376 15574 19168 23361 28752 31148 38336 46722 57504 62296 76672 93444 115008 124592 186888 230016 249184 373776 498368 747552 996736 1495104 2990208