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14008800 = 2535213449
BaseRepresentation
bin110101011100…
…000111100000
3222100201110110
4311130013200
512041240200
61220131320
7230033661
oct65340740
928321413
1014008800
1179a9023
124836b40
132b96440
141c09368
15136ab50
hexd5c1e0

14008800 has 144 divisors (see below), whose sum is σ = 49215600. Its totient is φ = 3440640.

The previous prime is 14008763. The next prime is 14008811. The reversal of 14008800 is 880041.

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 23 ways as a sum of consecutive naturals, for example, 30976 + ... + 31424.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 214008800 is an apocalyptic number.

14008800 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 14008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24607800).

14008800 is an abundant number, since it is smaller than the sum of its proper divisors (35206800).

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

14008800 is a wasteful number, since it uses less digits than its factorization.

14008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 14008800 is about 3742.8331515044. The cubic root of 14008800 is about 241.0647140595.

Adding to 14008800 its reverse (880041), we get a palindrome (14888841).

The spelling of 14008800 in words is "fourteen million, eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 449 480 520 600 624 650 780 800 898 975 1040 1200 1248 1300 1347 1560 1796 1950 2080 2245 2400 2600 2694 3120 3592 3900 4490 5200 5388 5837 6240 6735 7184 7800 8980 10400 10776 11225 11674 13470 14368 15600 17511 17960 21552 22450 23348 26940 29185 31200 33675 35022 35920 43104 44900 46696 53880 58370 67350 70044 71840 87555 89800 93392 107760 116740 134700 140088 145925 175110 179600 186784 215520 233480 269400 280176 291850 350220 359200 437775 466960 538800 560352 583700 700440 875550 933920 1077600 1167400 1400880 1751100 2334800 2801760 3502200 4669600 7004400 14008800