Search a number
-
+
2302542 = 2321129401
BaseRepresentation
bin1000110010001001001110
311022222111100
420302021032
51042140132
6121203530
725366644
oct10621116
94288440
102302542
111332a30
129305a6
13628068
1443d194
1530737c
hex23224e

2302542 has 48 divisors (see below), whose sum is σ = 5644080. Its totient is φ = 672000.

The previous prime is 2302537. The next prime is 2302543. The reversal of 2302542 is 2452032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302543) 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, 5542 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (117585).

22302542 is an apocalyptic number.

2302542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822040).

2302542 is an abundant number, since it is smaller than the sum of its proper divisors (3341538).

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

2302542 is a wasteful number, since it uses less digits than its factorization.

2302542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2302542 is about 1517.4129299568. The cubic root of 2302542 is about 132.0492240658.

Adding to 2302542 its reverse (2452032), we get a palindrome (4754574).

It can be divided in two parts, 230 and 2542, that added together give a palindrome (2772).

The spelling of 2302542 in words is "two million, three hundred two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 401 522 638 802 957 1203 1914 2406 2871 3609 4411 5742 7218 8822 11629 13233 23258 26466 34887 39699 69774 79398 104661 127919 209322 255838 383757 767514 1151271 2302542