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2094144 = 26313839
BaseRepresentation
bin111111111010001000000
310221101121220
413333101000
51014003034
6112515040
723541243
oct7772100
93841556
102094144
1112003a8
1284ba80
13584250
143c725a
152b5749
hex1ff440

2094144 has 56 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 643584.

The previous prime is 2094139. The next prime is 2094167. The reversal of 2094144 is 4414902.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 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 7 ways as a sum of consecutive naturals, for example, 2077 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

22094144 is an apocalyptic number.

2094144 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 2094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987040).

2094144 is an abundant number, since it is smaller than the sum of its proper divisors (3879936).

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

2094144 is a wasteful number, since it uses less digits than its factorization.

2094144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2094144 is about 1447.1157521083. The cubic root of 2094144 is about 127.9387728007.

The spelling of 2094144 in words is "two million, ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 839 1248 1678 2496 2517 3356 5034 6712 10068 10907 13424 20136 21814 26848 32721 40272 43628 53696 65442 80544 87256 130884 161088 174512 261768 349024 523536 698048 1047072 2094144