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2099640 = 233517497
BaseRepresentation
bin1000000000100110111000
310221200011110
420000212320
51014142030
6113000320
723563254
oct10004670
93850143
102099640
111204544
128530a0
135868ba
143c9264
152b71b0
hex2009b8

2099640 has 32 divisors (see below), whose sum is σ = 6299280. Its totient is φ = 559872.

The previous prime is 2099627. The next prime is 2099641. The reversal of 2099640 is 469902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 221 + 0 + 93 + 93 + 6 + 45 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2099598 and 2099607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099641) by changing a digit.

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, 8629 + ... + 8868.

22099640 is an apocalyptic number.

2099640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2099640 is an abundant number, since it is smaller than the sum of its proper divisors (4199640).

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

2099640 is a wasteful number, since it uses less digits than its factorization.

2099640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17511 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2099640 is about 1449.0134574944. The cubic root of 2099640 is about 128.0505984853.

The spelling of 2099640 in words is "two million, ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17497 34994 52491 69988 87485 104982 139976 174970 209964 262455 349940 419928 524910 699880 1049820 2099640