Search a number
-
+
2543268 = 22371317137
BaseRepresentation
bin1001101100111010100100
311210012201010
421230322210
51122341033
6130302220
730421530
oct11547244
94705633
102543268
111487882
12a27970
136b07c0
144a2bc0
15353863
hex26cea4

2543268 has 96 divisors (see below), whose sum is σ = 7789824. Its totient is φ = 626688.

The previous prime is 2543257. The next prime is 2543279. The reversal of 2543268 is 8623452.

2543268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2543257) and next prime (2543279).

It is a d-powerful number, because it can be written as 25 + 59 + 48 + 35 + 219 + 62 + 8 .

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 31 ways as a sum of consecutive naturals, for example, 18496 + ... + 18632.

It is an arithmetic number, because the mean of its divisors is an integer number (81144).

22543268 is an apocalyptic number.

2543268 is a gapful number since it is divisible by the number (28) 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 2543268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894912).

2543268 is an abundant number, since it is smaller than the sum of its proper divisors (5246556).

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

2543268 is a wasteful number, since it uses less digits than its factorization.

2543268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2543268 is about 1594.7626782691. The cubic root of 2543268 is about 136.4993894967.

The spelling of 2543268 in words is "two million, five hundred forty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 137 156 182 204 221 238 273 274 357 364 411 442 476 546 548 663 714 822 884 959 1092 1326 1428 1547 1644 1781 1918 2329 2652 2877 3094 3562 3836 4641 4658 5343 5754 6188 6987 7124 9282 9316 10686 11508 12467 13974 16303 18564 21372 24934 27948 30277 32606 37401 48909 49868 60554 65212 74802 90831 97818 121108 149604 181662 195636 211939 363324 423878 635817 847756 1271634 2543268