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2099862180 = 2232513269029
BaseRepresentation
bin111110100101001…
…0101101010100100
312102100021001101100
41331022111222210
513300031042210
6544211200100
7103015351113
oct17512255244
95370231340
102099862180
11988354599
124a72a6030
13276070200
1415cc51c7a
15c453b5c0
hex7d295aa4

2099862180 has 108 divisors (see below), whose sum is σ = 6897339540. Its totient is φ = 516881664.

The previous prime is 2099862143. The next prime is 2099862217. The reversal of 2099862180 is 812689902.

It is an interprime number because it is at equal distance from previous prime (2099862143) and next prime (2099862217).

It can be written as a sum of positive squares in 6 ways, for example, as 617920164 + 1481942016 = 24858^2 + 38496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4095 + ... + 64934.

It is an arithmetic number, because the mean of its divisors is an integer number (63864255).

Almost surely, 22099862180 is an apocalyptic number.

2099862180 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 2099862180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448669770).

2099862180 is an abundant number, since it is smaller than the sum of its proper divisors (4797477360).

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

2099862180 is a wasteful number, since it uses less digits than its factorization.

2099862180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69070 (or 69052 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2099862180 is about 45824.2531854039. The cubic root of 2099862180 is about 1280.5511501809.

The spelling of 2099862180 in words is "two billion, ninety-nine million, eight hundred sixty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 69029 138058 207087 276116 345145 414174 621261 690290 828348 897377 1035435 1242522 1380580 1794754 2070870 2485044 2692131 3106305 3589508 4141740 4486885 5384262 6212610 8076393 8973770 10768524 11665901 12425220 13460655 16152786 17947540 23331802 26921310 32305572 34997703 40381965 46663604 53842620 58329505 69995406 80763930 104993109 116659010 139990812 161527860 174988515 209986218 233318020 349977030 419972436 524965545 699954060 1049931090 2099862180