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2690208 = 25329341
BaseRepresentation
bin1010010000110010100000
312001200021100
422100302200
51142041313
6133354400
731603113
oct12206240
95050240
102690208
111578214
12a98a00
13732651
1450057a
15382173
hex290ca0

2690208 has 36 divisors (see below), whose sum is σ = 7651098. Its totient is φ = 896640.

The previous prime is 2690201. The next prime is 2690239. The reversal of 2690208 is 8020962.

It can be written as a sum of positive squares in only one way, i.e., 2471184 + 219024 = 1572^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2690201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4383 + ... + 4958.

22690208 is an apocalyptic number.

It is an amenable number.

2690208 is an abundant number, since it is smaller than the sum of its proper divisors (4960890).

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

2690208 is a wasteful number, since it uses less digits than its factorization.

2690208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2690208 is about 1640.1853553791. The cubic root of 2690208 is about 139.0791261441.

The spelling of 2690208 in words is "two million, six hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9341 18682 28023 37364 56046 74728 84069 112092 149456 168138 224184 298912 336276 448368 672552 896736 1345104 2690208