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2609064 = 233347257
BaseRepresentation
bin1001111100111110101000
311220112222000
421330332220
51131442224
6131531000
731114413
oct11747650
94815860
102609064
111522257
12a59a60
13704733
144bcb7a
153680c9
hex27cfa8

2609064 has 64 divisors (see below), whose sum is σ = 7430400. Its totient is φ = 847872.

The previous prime is 2609059. The next prime is 2609069. The reversal of 2609064 is 4609062.

It is an interprime number because it is at equal distance from previous prime (2609059) and next prime (2609069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2609069) 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 15 ways as a sum of consecutive naturals, for example, 10024 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (116100).

22609064 is an apocalyptic number.

2609064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715200).

2609064 is an abundant number, since it is smaller than the sum of its proper divisors (4821336).

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

2609064 is a wasteful number, since it uses less digits than its factorization.

2609064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2609064 is about 1615.2597314364. The cubic root of 2609064 is about 137.6664914360. Note that the first 3 decimals are identical.

The spelling of 2609064 in words is "two million, six hundred nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 257 282 376 423 514 564 771 846 1028 1128 1269 1542 1692 2056 2313 2538 3084 3384 4626 5076 6168 6939 9252 10152 12079 13878 18504 24158 27756 36237 48316 55512 72474 96632 108711 144948 217422 289896 326133 434844 652266 869688 1304532 2609064