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2095016 = 2371119179
BaseRepresentation
bin111111111011110101000
310221102211012
413333132220
51014020031
6112523052
723543630
oct7773650
93842735
102095016
111201020
12850488
13584771
143c76c0
152b5b2b
hex1ff7a8

2095016 has 64 divisors (see below), whose sum is σ = 5184000. Its totient is φ = 768960.

The previous prime is 2095007. The next prime is 2095021. The reversal of 2095016 is 6105902.

It is a junction number, because it is equal to n+sod(n) for n = 2094982 and 2095000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11615 + ... + 11793.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

22095016 is an apocalyptic number.

2095016 is the 836-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592000).

2095016 is an abundant number, since it is smaller than the sum of its proper divisors (3088984).

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

2095016 is a wasteful number, since it uses less digits than its factorization.

2095016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 2095016 is about 1447.4170097107. The cubic root of 2095016 is about 127.9565282064.

It can be divided in two parts, 209 and 5016, that added together give a palindrome (5225).

The spelling of 2095016 in words is "two million, ninety-five thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 179 209 266 308 358 418 532 616 716 836 1064 1253 1432 1463 1672 1969 2506 2926 3401 3938 5012 5852 6802 7876 10024 11704 13604 13783 15752 23807 27208 27566 37411 47614 55132 74822 95228 110264 149644 190456 261877 299288 523754 1047508 2095016