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2068500 = 223537197
BaseRepresentation
bin111111001000000010100
310220002110010
413321000110
51012143000
6112200220
723403420
oct7710024
93802403
102068500
111193105
12839070
13575685
143bbb80
152acd50
hex1f9014

2068500 has 96 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 470400.

The previous prime is 2068499. The next prime is 2068501. The reversal of 2068500 is 58602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2068499) and next prime (2068501).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10402 + ... + 10598.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

22068500 is an apocalyptic number.

2068500 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 2068500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2068500 is an abundant number, since it is smaller than the sum of its proper divisors (4850412).

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

2068500 is a wasteful number, since it uses less digits than its factorization.

2068500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

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

The square root of 2068500 is about 1438.2280764886. The cubic root of 2068500 is about 127.4143985199.

The spelling of 2068500 in words is "two million, sixty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 197 210 250 300 350 375 394 420 500 525 591 700 750 788 875 985 1050 1182 1379 1500 1750 1970 2100 2364 2625 2758 2955 3500 3940 4137 4925 5250 5516 5910 6895 8274 9850 10500 11820 13790 14775 16548 19700 20685 24625 27580 29550 34475 41370 49250 59100 68950 73875 82740 98500 103425 137900 147750 172375 206850 295500 344750 413700 517125 689500 1034250 2068500