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2106300 = 2235271759
BaseRepresentation
bin1000000010001110111100
310222000022010
420002032330
51014400200
6113051220
723621550
oct10021674
93860263
102106300
111209549
12856b10
13589941
143cb860
152b9150
hex2023bc

2106300 has 144 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 445440.

The previous prime is 2106289. The next prime is 2106301. The reversal of 2106300 is 36012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35671 + ... + 35729.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

22106300 is an apocalyptic number.

2106300 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 2106300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2106300 is an abundant number, since it is smaller than the sum of its proper divisors (5393220).

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

2106300 is a wasteful number, since it uses less digits than its factorization.

2106300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2106300 is about 1451.3097532918. The cubic root of 2106300 is about 128.1858465703.

The spelling of 2106300 in words is "two million, one hundred six thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 59 60 68 70 75 84 85 100 102 105 118 119 140 150 170 175 177 204 210 236 238 255 295 300 340 350 354 357 413 420 425 476 510 525 590 595 700 708 714 826 850 885 1003 1020 1050 1180 1190 1239 1275 1428 1475 1652 1700 1770 1785 2006 2065 2100 2380 2478 2550 2950 2975 3009 3540 3570 4012 4130 4425 4956 5015 5100 5900 5950 6018 6195 7021 7140 8260 8850 8925 10030 10325 11900 12036 12390 14042 15045 17700 17850 20060 20650 21063 24780 25075 28084 30090 30975 35105 35700 41300 42126 50150 60180 61950 70210 75225 84252 100300 105315 123900 140420 150450 175525 210630 300900 351050 421260 526575 702100 1053150 2106300