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2866968 = 2333131021
BaseRepresentation
bin1010111011111100011000
312101122202000
422323330120
51213220333
6141241000
733240336
oct12737430
95348660
102866968
111688aa5
12b63160
13794c40
14548b56
153b9713
hex2bbf18

2866968 has 64 divisors (see below), whose sum is σ = 8584800. Its totient is φ = 881280.

The previous prime is 2866961. The next prime is 2867003. The reversal of 2866968 is 8696682.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2866961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2298 + ... + 3318.

22866968 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 2866968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292400).

2866968 is an abundant number, since it is smaller than the sum of its proper divisors (5717832).

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

2866968 is a wasteful number, since it uses less digits than its factorization.

2866968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1039 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2866968 is about 1693.2123316348. The cubic root of 2866968 is about 142.0608084469.

The spelling of 2866968 in words is "two million, eight hundred sixty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1021 1404 2042 2808 3063 4084 6126 8168 9189 12252 13273 18378 24504 26546 27567 36756 39819 53092 55134 73512 79638 106184 110268 119457 159276 220536 238914 318552 358371 477828 716742 955656 1433484 2866968