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2992668 = 2237231549
BaseRepresentation
bin1011011010101000011100
312122001011120
423122220130
51231231133
6144050540
734302660
oct13325034
95561146
102992668
111764488
121003a50
1380a213
1457c8a0
153e1ab3
hex2daa1c

2992668 has 48 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 817344.

The previous prime is 2992667. The next prime is 2992679. The reversal of 2992668 is 8662992.

2992668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992667) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1158 + ... + 2706.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

22992668 is an apocalyptic number.

2992668 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 2992668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2992668 is an abundant number, since it is smaller than the sum of its proper divisors (5340132).

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

2992668 is a wasteful number, since it uses less digits than its factorization.

2992668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 2992668 is about 1729.9329466774. The cubic root of 2992668 is about 144.1073659161.

The spelling of 2992668 in words is "two million, nine hundred ninety-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1549 1932 3098 4647 6196 9294 10843 18588 21686 32529 35627 43372 65058 71254 106881 130116 142508 213762 249389 427524 498778 748167 997556 1496334 2992668