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2995668 = 22321337173
BaseRepresentation
bin1011011011010111010100
312122012021200
423123113110
51231330133
6144112500
734314504
oct13332724
95565250
102995668
111766765
121005730
1380b6b0
1457da04
153e2913
hex2db5d4

2995668 has 72 divisors (see below), whose sum is σ = 8423688. Its totient is φ = 891648.

The previous prime is 2995667. The next prime is 2995669. The reversal of 2995668 is 8665992.

It is an interprime number because it is at equal distance from previous prime (2995667) and next prime (2995669).

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 1855044 = 1068^2 + 1362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2995661) 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 23 ways as a sum of consecutive naturals, for example, 17230 + ... + 17402.

22995668 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 2995668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211844).

2995668 is an abundant number, since it is smaller than the sum of its proper divisors (5428020).

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

2995668 is a wasteful number, since it uses less digits than its factorization.

2995668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2995668 is about 1730.7998151144. The cubic root of 2995668 is about 144.1555033103.

It can be divided in two parts, 2995 and 668, that added together give a palindrome (3663).

The spelling of 2995668 in words is "two million, nine hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 173 222 234 333 346 444 468 481 519 666 692 962 1038 1332 1443 1557 1924 2076 2249 2886 3114 4329 4498 5772 6228 6401 6747 8658 8996 12802 13494 17316 19203 20241 25604 26988 38406 40482 57609 76812 80964 83213 115218 166426 230436 249639 332852 499278 748917 998556 1497834 2995668