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11014200 = 23325229211
BaseRepresentation
bin101010000001…
…000000111000
3202201120122100
4222001000320
510304423300
61032023400
7162422241
oct52010070
922646570
1011014200
11624314a
123831b60
1323883a2
141669cc8
15e78700
hexa81038

11014200 has 144 divisors (see below), whose sum is σ = 38446200. Its totient is φ = 2822400.

The previous prime is 11014189. The next prime is 11014231. The reversal of 11014200 is 241011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52095 + ... + 52305.

Almost surely, 211014200 is an apocalyptic number.

11014200 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 11014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223100).

11014200 is an abundant number, since it is smaller than the sum of its proper divisors (27432000).

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

11014200 is a wasteful number, since it uses less digits than its factorization.

11014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11014200 is about 3318.7648304753. The cubic root of 11014200 is about 222.4936664443.

Adding to 11014200 its reverse (241011), we get a palindrome (11255211).

The spelling of 11014200 in words is "eleven million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 211 225 232 261 290 300 348 360 422 435 450 522 580 600 633 696 725 844 870 900 1044 1055 1160 1266 1305 1450 1688 1740 1800 1899 2088 2110 2175 2532 2610 2900 3165 3480 3798 4220 4350 5064 5220 5275 5800 6119 6330 6525 7596 8440 8700 9495 10440 10550 12238 12660 13050 15192 15825 17400 18357 18990 21100 24476 25320 26100 30595 31650 36714 37980 42200 47475 48952 52200 55071 61190 63300 73428 75960 91785 94950 110142 122380 126600 146856 152975 183570 189900 220284 244760 275355 305950 367140 379800 440568 458925 550710 611900 734280 917850 1101420 1223800 1376775 1835700 2202840 2753550 3671400 5507100 11014200