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11052300 = 22352719277
BaseRepresentation
bin101010001010…
…010100001100
3202210111220110
4222022110030
510312133200
61032520020
7162641310
oct52122414
922714813
1011052300
116269836
123850010
13239c82c
141679b40
15e84b50
hexa8a50c

11052300 has 144 divisors (see below), whose sum is σ = 38608640. Its totient is φ = 2384640.

The previous prime is 11052271. The next prime is 11052311. The reversal of 11052300 is 325011.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39762 + ... + 40038.

Almost surely, 211052300 is an apocalyptic number.

11052300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3324×3325.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304320).

11052300 is an abundant number, since it is smaller than the sum of its proper divisors (27556340).

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

11052300 is a wasteful number, since it uses less digits than its factorization.

11052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

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

The square root of 11052300 is about 3324.4999624004. The cubic root of 11052300 is about 222.7499190684.

Adding to 11052300 its reverse (325011), we get a palindrome (11377311).

The spelling of 11052300 in words is "eleven million, fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 277 285 300 350 380 399 420 475 525 532 554 570 665 700 798 831 950 1050 1108 1140 1330 1385 1425 1596 1662 1900 1939 1995 2100 2660 2770 2850 3324 3325 3878 3990 4155 5263 5540 5700 5817 6650 6925 7756 7980 8310 9695 9975 10526 11634 13300 13850 15789 16620 19390 19950 20775 21052 23268 26315 27700 29085 31578 36841 38780 39900 41550 48475 52630 58170 63156 73682 78945 83100 96950 105260 110523 116340 131575 145425 147364 157890 184205 193900 221046 263150 290850 315780 368410 394725 442092 526300 552615 581700 736820 789450 921025 1105230 1578900 1842050 2210460 2763075 3684100 5526150 11052300