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2541364 = 2271719281
BaseRepresentation
bin1001101100011100110100
311210010002121
421230130310
51122310424
6130245324
730413140
oct11543464
94703077
102541364
111486401
12a26844
136ac987
144a2220
15352ee4
hex26c734

2541364 has 48 divisors (see below), whose sum is σ = 5685120. Its totient is φ = 967680.

The previous prime is 2541323. The next prime is 2541391. The reversal of 2541364 is 4631452.

2541364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8904 + ... + 9184.

It is an arithmetic number, because the mean of its divisors is an integer number (118440).

22541364 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 2541364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842560).

2541364 is an abundant number, since it is smaller than the sum of its proper divisors (3143756).

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

2541364 is a wasteful number, since it uses less digits than its factorization.

2541364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 2541364 is about 1594.1656124757. The cubic root of 2541364 is about 136.4653178848.

The spelling of 2541364 in words is "two million, five hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 281 323 476 532 562 646 1124 1292 1967 2261 3934 4522 4777 5339 7868 9044 9554 10678 19108 21356 33439 37373 66878 74746 90763 133756 149492 181526 363052 635341 1270682 2541364