Search a number
-
+
2541042 = 232724367
BaseRepresentation
bin1001101100010111110010
311210002122200
421230113302
51122303132
6130244030
730412200
oct11542762
94702580
102541042
111486139
12a26616
136ac79a
144a2070
15352d7c
hex26c5f2

2541042 has 72 divisors (see below), whose sum is σ = 6651216. Its totient is φ = 698544.

The previous prime is 2541029. The next prime is 2541043. The reversal of 2541042 is 2401452.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2541043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37893 + ... + 37959.

It is an arithmetic number, because the mean of its divisors is an integer number (92378).

22541042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325608).

2541042 is an abundant number, since it is smaller than the sum of its proper divisors (4110174).

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

2541042 is a wasteful number, since it uses less digits than its factorization.

2541042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2541042 is about 1594.0646160053. The cubic root of 2541042 is about 136.4595540917.

Adding to 2541042 its reverse (2401452), we get a palindrome (4942494).

It can be divided in two parts, 25410 and 42, that added together give a palindrome (25452).

The spelling of 2541042 in words is "two million, five hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 67 86 98 126 129 134 147 201 258 294 301 387 402 441 469 602 603 774 882 903 938 1206 1407 1806 2107 2709 2814 2881 3283 4214 4221 5418 5762 6321 6566 8442 8643 9849 12642 17286 18963 19698 20167 25929 29547 37926 40334 51858 59094 60501 121002 141169 181503 282338 363006 423507 847014 1270521 2541042