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2072300 = 2252172353
BaseRepresentation
bin111111001111011101100
310220021122212
413321323230
51012303200
6112225552
723420456
oct7717354
93807585
102072300
111195a4a
1283b2b8
13577319
143bd2d6
152ae035
hex1f9eec

2072300 has 72 divisors (see below), whose sum is σ = 5062176. Its totient is φ = 732160.

The previous prime is 2072293. The next prime is 2072321. The reversal of 2072300 is 32702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39074 + ... + 39126.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

22072300 is an apocalyptic number.

2072300 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 2072300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531088).

2072300 is an abundant number, since it is smaller than the sum of its proper divisors (2989876).

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

2072300 is a wasteful number, since it uses less digits than its factorization.

2072300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 2072300 is about 1439.5485403417. The cubic root of 2072300 is about 127.4923742716.

It can be divided in two parts, 207 and 2300, that multiplied together give a square (476100 = 6902).

The spelling of 2072300 in words is "two million, seventy-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 53 68 85 92 100 106 115 170 212 230 265 340 391 425 460 530 575 782 850 901 1060 1150 1219 1325 1564 1700 1802 1955 2300 2438 2650 3604 3910 4505 4876 5300 6095 7820 9010 9775 12190 18020 19550 20723 22525 24380 30475 39100 41446 45050 60950 82892 90100 103615 121900 207230 414460 518075 1036150 2072300