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2086500 = 2235313107
BaseRepresentation
bin111111101011001100100
310221000010210
413331121210
51013232000
6112415420
723510043
oct7753144
93830123
102086500
1111a5689
12847570
13580920
143c455a
152b3350
hex1fd664

2086500 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 508800.

The previous prime is 2086493. The next prime is 2086501. The reversal of 2086500 is 56802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2086501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19447 + ... + 19553.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22086500 is an apocalyptic number.

2086500 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 2086500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2086500 is an abundant number, since it is smaller than the sum of its proper divisors (4517916).

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

2086500 is a wasteful number, since it uses less digits than its factorization.

2086500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2086500 is about 1444.4722219551. The cubic root of 2086500 is about 127.7829165475.

The spelling of 2086500 in words is "two million, eighty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 107 125 130 150 156 195 214 250 260 300 321 325 375 390 428 500 535 642 650 750 780 975 1070 1284 1300 1391 1500 1605 1625 1950 2140 2675 2782 3210 3250 3900 4173 4875 5350 5564 6420 6500 6955 8025 8346 9750 10700 13375 13910 16050 16692 19500 20865 26750 27820 32100 34775 40125 41730 53500 69550 80250 83460 104325 139100 160500 173875 208650 347750 417300 521625 695500 1043250 2086500