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2099112 = 233149587
BaseRepresentation
bin1000000000011110101000
310221122102220
420000132220
51014132422
6112554040
723561601
oct10003650
93848386
102099112
111204104
12852920
135865a2
143c8da8
152b6e5c
hex2007a8

2099112 has 32 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 693824.

The previous prime is 2099093. The next prime is 2099129. The reversal of 2099112 is 2119902.

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

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, 3283 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (165375).

22099112 is an apocalyptic number.

It is an amenable number.

2099112 is an abundant number, since it is smaller than the sum of its proper divisors (3192888).

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

2099112 is a wasteful number, since it uses less digits than its factorization.

2099112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 2099112 is about 1448.8312531140. The cubic root of 2099112 is about 128.0398638857.

It can be divided in two parts, 2099 and 112, that added together give a triangular number (2211 = T66).

The spelling of 2099112 in words is "two million, ninety-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 587 596 894 1174 1192 1761 1788 2348 3522 3576 4696 7044 14088 87463 174926 262389 349852 524778 699704 1049556 2099112