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2099020 = 2257112947
BaseRepresentation
bin1000000000011101001100
310221122022111
420000131030
51014132040
6112553404
723561410
oct10003514
93848274
102099020
111204030
12852864
13586531
143c8d40
152b6dea
hex20074c

2099020 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 618240.

The previous prime is 2099017. The next prime is 2099021. The reversal of 2099020 is 209902.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2098982 and 2099000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099021) 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 31 ways as a sum of consecutive naturals, for example, 44637 + ... + 44683.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

22099020 is an apocalyptic number.

2099020 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 2099020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2099020 is an abundant number, since it is smaller than the sum of its proper divisors (3707060).

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

2099020 is a wasteful number, since it uses less digits than its factorization.

2099020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2099020 is about 1448.7995030369. The cubic root of 2099020 is about 128.0379932789.

It can be divided in two parts, 209 and 9020, that added together give a palindrome (9229).

The spelling of 2099020 in words is "two million, ninety-nine thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 47 55 58 70 77 94 110 116 140 145 154 188 203 220 235 290 308 319 329 385 406 470 517 580 638 658 770 812 940 1015 1034 1276 1316 1363 1540 1595 1645 2030 2068 2233 2585 2726 3190 3290 3619 4060 4466 5170 5452 6380 6580 6815 7238 8932 9541 10340 11165 13630 14476 14993 18095 19082 22330 27260 29986 36190 38164 44660 47705 59972 72380 74965 95410 104951 149930 190820 209902 299860 419804 524755 1049510 2099020