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2099680 = 255111193
BaseRepresentation
bin1000000000100111100000
310221200012221
420000213200
51014142210
6113000424
723563342
oct10004740
93850187
102099680
111204580
12853114
1358691b
143c9292
152b71da
hex2009e0

2099680 has 48 divisors (see below), whose sum is σ = 5415984. Its totient is φ = 762880.

The previous prime is 2099677. The next prime is 2099707. The reversal of 2099680 is 869902.

It is a super-2 number, since 2×20996802 = 8817312204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1164 + ... + 2356.

It is an arithmetic number, because the mean of its divisors is an integer number (112833).

22099680 is an apocalyptic number.

2099680 is a gapful number since it is divisible by the number (20) 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 2099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707992).

2099680 is an abundant number, since it is smaller than the sum of its proper divisors (3316304).

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

2099680 is a wasteful number, since it uses less digits than its factorization.

2099680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2099680 is about 1449.0272599230. The cubic root of 2099680 is about 128.0514116392.

It can be divided in two parts, 209 and 9680, that added together give a palindrome (9889).

The spelling of 2099680 in words is "two million, ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1193 1760 2386 4772 5965 9544 11930 13123 19088 23860 26246 38176 47720 52492 65615 95440 104984 131230 190880 209968 262460 419936 524920 1049840 2099680