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11320200 = 23325219331
BaseRepresentation
bin101011001011…
…101110001000
3210022010101200
4223023232020
510344221300
61042344200
7165135333
oct53135610
923263350
1011320200
116432041
12395b060
132464758
14170961a
15ed9200
hexacbb88

11320200 has 144 divisors (see below), whose sum is σ = 40138800. Its totient is φ = 2851200.

The previous prime is 11320189. The next prime is 11320213. The reversal of 11320200 is 202311.

It is a happy number.

11320200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34035 + ... + 34365.

Almost surely, 211320200 is an apocalyptic number.

11320200 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 11320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069400).

11320200 is an abundant number, since it is smaller than the sum of its proper divisors (28818600).

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

11320200 is a wasteful number, since it uses less digits than its factorization.

11320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11320200 is about 3364.5504900358. The cubic root of 11320200 is about 224.5353373508.

Adding to 11320200 its reverse (202311), we get a palindrome (11522511).

It can be divided in two parts, 1 and 1320200, that added together give a square (1320201 = 11492).

The spelling of 11320200 in words is "eleven million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 331 342 360 380 450 456 475 570 600 662 684 760 855 900 950 993 1140 1324 1368 1425 1655 1710 1800 1900 1986 2280 2648 2850 2979 3310 3420 3800 3972 4275 4965 5700 5958 6289 6620 6840 7944 8275 8550 9930 11400 11916 12578 13240 14895 16550 17100 18867 19860 23832 24825 25156 29790 31445 33100 34200 37734 39720 49650 50312 56601 59580 62890 66200 74475 75468 94335 99300 113202 119160 125780 148950 150936 157225 188670 198600 226404 251560 283005 297900 314450 377340 452808 471675 566010 595800 628900 754680 943350 1132020 1257800 1415025 1886700 2264040 2830050 3773400 5660100 11320200