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2541084 = 2237132179
BaseRepresentation
bin1001101100011000011100
311210002201020
421230120130
51122303314
6130244140
730412260
oct11543034
94702636
102541084
111486177
12a26650
136ac800
144a20a0
15352da9
hex26c61c

2541084 has 72 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 666432.

The previous prime is 2541061. The next prime is 2541089. The reversal of 2541084 is 4801452.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14107 + ... + 14285.

It is an arithmetic number, because the mean of its divisors is an integer number (102480).

22541084 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 2541084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2541084 is an abundant number, since it is smaller than the sum of its proper divisors (4837476).

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

2541084 is a wasteful number, since it uses less digits than its factorization.

2541084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2541084 is about 1594.0777898208. The cubic root of 2541084 is about 136.4603059184.

The spelling of 2541084 in words is "two million, five hundred forty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 179 182 273 338 358 364 507 537 546 676 716 1014 1074 1092 1183 1253 2028 2148 2327 2366 2506 3549 3759 4654 4732 5012 6981 7098 7518 9308 13962 14196 15036 16289 27924 30251 32578 48867 60502 65156 90753 97734 121004 181506 195468 211757 363012 423514 635271 847028 1270542 2541084