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2880906 = 237241239
BaseRepresentation
bin1010111111010110001010
312102100212020
422333112022
51214142111
6141425310
733326100
oct12772612
95370766
102880906
111698516
12b6b236
1379b3a2
1454dc70
153bd906
hex2bf58a

2880906 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 799680.

The previous prime is 2880901. The next prime is 2880907. The reversal of 2880906 is 6090882.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2880901) 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 23 ways as a sum of consecutive naturals, for example, 11935 + ... + 12173.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22880906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2880906 is an abundant number, since it is smaller than the sum of its proper divisors (4013814).

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

2880906 is a wasteful number, since it uses less digits than its factorization.

2880906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2880906 is about 1697.3231866678. The cubic root of 2880906 is about 142.2906498068.

The spelling of 2880906 in words is "two million, eight hundred eighty thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 239 246 287 294 478 574 717 861 1434 1673 1722 2009 3346 4018 5019 6027 9799 10038 11711 12054 19598 23422 29397 35133 58794 68593 70266 137186 205779 411558 480151 960302 1440453 2880906