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14049280 = 213573
BaseRepresentation
bin110101100110…
…000000000000
3222102202222201
4311212000000
512044034110
61221042544
7230263000
oct65460000
928382881
1014049280
117a26483
124856454
132bab9ab
141c1a000
151377b3a
hexd66000

14049280 has 112 divisors (see below), whose sum is σ = 39319200. Its totient is φ = 4816896.

The previous prime is 14049247. The next prime is 14049289. The reversal of 14049280 is 8294041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14049289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2007037 + ... + 2007043.

Almost surely, 214049280 is an apocalyptic number.

14049280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14049280 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659600).

14049280 is an abundant number, since it is smaller than the sum of its proper divisors (25269920).

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

14049280 is an frugal number, since it uses more digits than its factorization.

14049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 14049280 is about 3748.2369188727. The cubic root of 14049280 is about 241.2966852836.

The spelling of 14049280 in words is "fourteen million, forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 512 560 640 686 784 896 980 1024 1120 1280 1372 1568 1715 1792 1960 2048 2240 2560 2744 3136 3430 3584 3920 4096 4480 5120 5488 6272 6860 7168 7840 8192 8960 10240 10976 12544 13720 14336 15680 17920 20480 21952 25088 27440 28672 31360 35840 40960 43904 50176 54880 57344 62720 71680 87808 100352 109760 125440 143360 175616 200704 219520 250880 286720 351232 401408 439040 501760 702464 878080 1003520 1404928 1756160 2007040 2809856 3512320 7024640 14049280