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12023200 = 2552719113
BaseRepresentation
bin101101110111…
…010110100000
3211121211201201
4231313112200
511034220300
61105410544
7204124030
oct55672640
924554651
1012023200
116872232
124039a54
13264c727
14184d8c0
1510c766a
hexb775a0

12023200 has 144 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 3870720.

The previous prime is 12023191. The next prime is 12023239. The reversal of 12023200 is 232021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106344 + ... + 106456.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 212023200 is an apocalyptic number.

12023200 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 12023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12023200 is an abundant number, since it is smaller than the sum of its proper divisors (23599520).

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

12023200 is a wasteful number, since it uses less digits than its factorization.

12023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12023200 is about 3467.4486297565. The cubic root of 12023200 is about 229.0902944775.

Adding to 12023200 its reverse (232021), we get a palindrome (12255221).

The spelling of 12023200 in words is "twelve million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 113 133 140 152 160 175 190 200 224 226 266 280 304 350 380 400 452 475 532 560 565 608 665 700 760 791 800 904 950 1064 1120 1130 1330 1400 1520 1582 1808 1900 2128 2147 2260 2660 2800 2825 3040 3164 3325 3616 3800 3955 4256 4294 4520 5320 5600 5650 6328 6650 7600 7910 8588 9040 10640 10735 11300 12656 13300 15029 15200 15820 17176 18080 19775 21280 21470 22600 25312 26600 30058 31640 34352 39550 42940 45200 53200 53675 60116 63280 68704 75145 79100 85880 90400 106400 107350 120232 126560 150290 158200 171760 214700 240464 300580 316400 343520 375725 429400 480928 601160 632800 751450 858800 1202320 1502900 1717600 2404640 3005800 6011600 12023200