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11025300 = 223521113257
BaseRepresentation
bin101010000011…
…101110010100
3202202010212110
4222003232110
510310302200
61032151020
7162466506
oct52035624
922663773
1011025300
116250520
123838470
132390460
14166dd76
15e7bb50
hexa83b94

11025300 has 144 divisors (see below), whose sum is σ = 37622592. Its totient is φ = 2457600.

The previous prime is 11025293. The next prime is 11025331. The reversal of 11025300 is 352011.

It is a Harshad number since it is a multiple of its sum of digits (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 47 ways as a sum of consecutive naturals, for example, 42772 + ... + 43028.

It is an arithmetic number, because the mean of its divisors is an integer number (261268).

Almost surely, 211025300 is an apocalyptic number.

11025300 is a gapful number since it is divisible by the number (10) 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 11025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18811296).

11025300 is an abundant number, since it is smaller than the sum of its proper divisors (26597292).

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

11025300 is a wasteful number, since it uses less digits than its factorization.

11025300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 11025300 is about 3320.4367182646. The cubic root of 11025300 is about 222.5683836434.

Adding to 11025300 its reverse (352011), we get a palindrome (11377311).

Subtracting from 11025300 its reverse (352011), we obtain a square (10673289 = 32672).

It can be divided in two parts, 11025 and 300, that added together give a triangular number (11325 = T150).

The spelling of 11025300 in words is "eleven million, twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 257 260 275 286 300 325 330 390 429 514 550 572 650 660 715 771 780 825 858 975 1028 1100 1285 1300 1430 1542 1650 1716 1950 2145 2570 2827 2860 3084 3300 3341 3575 3855 3900 4290 5140 5654 6425 6682 7150 7710 8481 8580 10023 10725 11308 12850 13364 14135 14300 15420 16705 16962 19275 20046 21450 25700 28270 33410 33924 36751 38550 40092 42405 42900 50115 56540 66820 70675 73502 77100 83525 84810 100230 110253 141350 147004 167050 169620 183755 200460 212025 220506 250575 282700 334100 367510 424050 441012 501150 551265 735020 848100 918775 1002300 1102530 1837550 2205060 2756325 3675100 5512650 11025300