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2055300 = 22352131731
BaseRepresentation
bin111110101110010000100
310212102100020
413311302010
51011232200
6112015140
723320062
oct7656204
93772306
102055300
1111841a5
128314b0
1356c670
143b7032
152a8ea0
hex1f5c84

2055300 has 144 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 460800.

The previous prime is 2055299. The next prime is 2055307. The reversal of 2055300 is 35502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2055300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66285 + ... + 66315.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

22055300 is an apocalyptic number.

2055300 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 2055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

2055300 is an abundant number, since it is smaller than the sum of its proper divisors (4944252).

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

2055300 is a wasteful number, since it uses less digits than its factorization.

2055300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 2055300 is about 1433.6317518805. The cubic root of 2055300 is about 127.1427910136.

The spelling of 2055300 in words is "two million, fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 31 34 39 50 51 52 60 62 65 68 75 78 85 93 100 102 124 130 150 155 156 170 186 195 204 221 255 260 300 310 325 340 372 390 403 425 442 465 510 527 620 650 663 775 780 806 850 884 930 975 1020 1054 1105 1209 1275 1300 1326 1550 1581 1612 1700 1860 1950 2015 2108 2210 2325 2418 2550 2635 2652 3100 3162 3315 3900 4030 4420 4650 4836 5100 5270 5525 6045 6324 6630 6851 7905 8060 9300 10075 10540 11050 12090 13175 13260 13702 15810 16575 20150 20553 22100 24180 26350 27404 30225 31620 33150 34255 39525 40300 41106 52700 60450 66300 68510 79050 82212 102765 120900 137020 158100 171275 205530 342550 411060 513825 685100 1027650 2055300