Search a number
-
+
2868264 = 233372271
BaseRepresentation
bin1010111100010000101000
312101201112000
422330100220
51213241024
6141251000
733244200
oct12742050
95351460
102868264
111689a73
12b63a60
137956c9
14549400
153b9cc9
hex2bc428

2868264 has 96 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 816480.

The previous prime is 2868263. The next prime is 2868289. The reversal of 2868264 is 4628682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2868263) 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, 10449 + ... + 10719.

It is an arithmetic number, because the mean of its divisors is an integer number (96900).

22868264 is an apocalyptic number.

2868264 is a gapful number since it is divisible by the number (24) 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 2868264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

2868264 is an abundant number, since it is smaller than the sum of its proper divisors (6434136).

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

2868264 is a wasteful number, since it uses less digits than its factorization.

2868264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2868264 is about 1693.5949929071. The cubic root of 2868264 is about 142.0822112055.

The spelling of 2868264 in words is "two million, eight hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 271 294 378 392 441 504 542 588 756 813 882 1084 1176 1323 1512 1626 1764 1897 2168 2439 2646 3252 3528 3794 4878 5292 5691 6504 7317 7588 9756 10584 11382 13279 14634 15176 17073 19512 22764 26558 29268 34146 39837 45528 51219 53116 58536 68292 79674 102438 106232 119511 136584 159348 204876 239022 318696 358533 409752 478044 717066 956088 1434132 2868264