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2118368 = 2573193
BaseRepresentation
bin1000000101001011100000
310222121212002
420011023200
51020241433
6113223132
724002000
oct10051340
93877762
102118368
11121761a
12861aa8
13592295
143d2000
152bc9e8
hex2052e0

2118368 has 48 divisors (see below), whose sum is σ = 4888800. Its totient is φ = 903168.

The previous prime is 2118359. The next prime is 2118371. The reversal of 2118368 is 8638112.

2118368 is nontrivially palindromic in base 13.

2118368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2118368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10880 + ... + 11072.

It is an arithmetic number, because the mean of its divisors is an integer number (101850).

22118368 is an apocalyptic number.

2118368 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 2118368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444400).

2118368 is an abundant number, since it is smaller than the sum of its proper divisors (2770432).

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

2118368 is an equidigital number, since it uses as much as digits as its factorization.

2118368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 202 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 2118368 is about 1455.4614388571. The cubic root of 2118368 is about 128.4301931758.

The spelling of 2118368 in words is "two million, one hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 193 196 224 343 386 392 686 772 784 1351 1372 1544 1568 2702 2744 3088 5404 5488 6176 9457 10808 10976 18914 21616 37828 43232 66199 75656 132398 151312 264796 302624 529592 1059184 2118368