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2105300 = 225237569
BaseRepresentation
bin1000000001111111010100
310221221221002
420001333110
51014332200
6113042432
723615621
oct10017724
93857832
102105300
11120881a
12856418
13589352
143cb348
152b8bd5
hex201fd4

2105300 has 36 divisors (see below), whose sum is σ = 4700220. Its totient is φ = 817920.

The previous prime is 2105287. The next prime is 2105317. The reversal of 2105300 is 35012.

It can be written as a sum of positive squares in 6 ways, for example, as 20164 + 2085136 = 142^2 + 1444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3416 + ... + 3984.

22105300 is an apocalyptic number.

2105300 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 2105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350110).

2105300 is an abundant number, since it is smaller than the sum of its proper divisors (2594920).

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

2105300 is a wasteful number, since it uses less digits than its factorization.

2105300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 2105300 is about 1450.9651959989. The cubic root of 2105300 is about 128.1655572576.

The spelling of 2105300 in words is "two million, one hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 569 740 925 1138 1850 2276 2845 3700 5690 11380 14225 21053 28450 42106 56900 84212 105265 210530 421060 526325 1052650 2105300