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2099968 = 2813631
BaseRepresentation
bin1000000000101100000000
310221200121121
420000230000
51014144333
6113002024
723564233
oct10005400
93850547
102099968
111204812
12853314
13586ab0
143c941a
152b732d
hex200b00

2099968 has 36 divisors (see below), whose sum is σ = 4521328. Its totient is φ = 967680.

The previous prime is 2099963. The next prime is 2100001. The reversal of 2099968 is 8699902.

It is not an unprimeable number, because it can be changed into a prime (2099963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3013 + ... + 3643.

22099968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260664).

2099968 is an abundant number, since it is smaller than the sum of its proper divisors (2421360).

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

2099968 is an equidigital number, since it uses as much as digits as its factorization.

2099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 2099968 is about 1449.1266335279. The cubic root of 2099968 is about 128.0572660425.

The spelling of 2099968 in words is "two million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 631 832 1262 1664 2524 3328 5048 8203 10096 16406 20192 32812 40384 65624 80768 131248 161536 262496 524992 1049984 2099968