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2985300 = 22325231107
BaseRepresentation
bin1011011000110101010100
312121200001200
423120311110
51231012200
6143552500
734242333
oct13306524
95550050
102985300
11175999a
12bbb730
13806a66
14579d1a
153de800
hex2d8d54

2985300 has 108 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 763200.

The previous prime is 2985293. The next prime is 2985317. The reversal of 2985300 is 35892.

2985300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27847 + ... + 27953.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

22985300 is an apocalyptic number.

2985300 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 2985300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2985300 is an abundant number, since it is smaller than the sum of its proper divisors (6764076).

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

2985300 is a wasteful number, since it uses less digits than its factorization.

2985300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2985300 is about 1727.8020719978. The cubic root of 2985300 is about 143.9890037900.

The spelling of 2985300 in words is "two million, nine hundred eighty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 107 124 150 155 180 186 214 225 279 300 310 321 372 428 450 465 535 558 620 642 775 900 930 963 1070 1116 1284 1395 1550 1605 1860 1926 2140 2325 2675 2790 3100 3210 3317 3852 4650 4815 5350 5580 6420 6634 6975 8025 9300 9630 9951 10700 13268 13950 16050 16585 19260 19902 24075 27900 29853 32100 33170 39804 48150 49755 59706 66340 82925 96300 99510 119412 149265 165850 199020 248775 298530 331700 497550 597060 746325 995100 1492650 2985300