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2809136 = 241121451
BaseRepresentation
bin1010101101110100110000
312021201102002
422231310300
51204343021
6140113132
732606621
oct12556460
95251362
102809136
111649600
12b357a8
13774815
14531a48
153a750b
hex2add30

2809136 has 30 divisors (see below), whose sum is σ = 5986596. Its totient is φ = 1276000.

The previous prime is 2809117. The next prime is 2809141. The reversal of 2809136 is 6319082.

2809136 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2809099 and 2809108.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1211 + ... + 2661.

22809136 is an apocalyptic number.

2809136 is the 968-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993298).

2809136 is an abundant number, since it is smaller than the sum of its proper divisors (3177460).

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

2809136 is a wasteful number, since it uses less digits than its factorization.

2809136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2809136 is about 1676.0477320172. The cubic root of 2809136 is about 141.0991037424.

The spelling of 2809136 in words is "two million, eight hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1451 1936 2902 5804 11608 15961 23216 31922 63844 127688 175571 255376 351142 702284 1404568 2809136