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2021300 = 2252172941
BaseRepresentation
bin111101101011110110100
310210200200222
413231132310
51004140200
6111153512
723116001
oct7553664
93720628
102021300
1111606a6
12815898
1355a048
143a88a8
1529dd85
hex1ed7b4

2021300 has 72 divisors (see below), whose sum is σ = 4921560. Its totient is φ = 716800.

The previous prime is 2021291. The next prime is 2021321. The reversal of 2021300 is 31202.

It can be written as a sum of positive squares in 12 ways, for example, as 753424 + 1267876 = 868^2 + 1126^2 .

It is an Ulam number.

It is a congruent number.

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, 49280 + ... + 49320.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

22021300 is an apocalyptic number.

2021300 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 2021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460780).

2021300 is an abundant number, since it is smaller than the sum of its proper divisors (2900260).

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

2021300 is a wasteful number, since it uses less digits than its factorization.

2021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2021300 is about 1421.7243052013. The cubic root of 2021300 is about 126.4377984751.

Adding to 2021300 its reverse (31202), we get a palindrome (2052502).

The spelling of 2021300 in words is "two million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 41 50 58 68 82 85 100 116 145 164 170 205 290 340 410 425 493 580 697 725 820 850 986 1025 1189 1394 1450 1700 1972 2050 2378 2465 2788 2900 3485 4100 4756 4930 5945 6970 9860 11890 12325 13940 17425 20213 23780 24650 29725 34850 40426 49300 59450 69700 80852 101065 118900 202130 404260 505325 1010650 2021300