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14336000 = 214537
BaseRepresentation
bin110110101100…
…000000000000
3222222100021222
4312230000000
512132223000
61231134212
7232565630
oct66540000
928870258
1014336000
118101938
124974368
132c7c353
141c926c0
1513d2a85
hexdac000

14336000 has 120 divisors (see below), whose sum is σ = 40893216. Its totient is φ = 4915200.

The previous prime is 14335963. The next prime is 14336011. The reversal of 14336000 is 63341.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 14336000.

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 7 ways as a sum of consecutive naturals, for example, 2047997 + ... + 2048003.

Almost surely, 214336000 is an apocalyptic number.

14336000 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 14336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446608).

14336000 is an abundant number, since it is smaller than the sum of its proper divisors (26557216).

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

14336000 is an frugal number, since it uses more digits than its factorization.

14336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 14336000 is about 3786.2910611838. The cubic root of 14336000 is about 242.9271177501.

Adding to 14336000 its reverse (63341), we get a palindrome (14399341).

The spelling of 14336000 in words is "fourteen million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 640 700 800 875 896 1000 1024 1120 1280 1400 1600 1750 1792 2000 2048 2240 2560 2800 3200 3500 3584 4000 4096 4480 5120 5600 6400 7000 7168 8000 8192 8960 10240 11200 12800 14000 14336 16000 16384 17920 20480 22400 25600 28000 28672 32000 35840 40960 44800 51200 56000 57344 64000 71680 81920 89600 102400 112000 114688 128000 143360 179200 204800 224000 256000 286720 358400 409600 448000 512000 573440 716800 896000 1024000 1433600 1792000 2048000 2867200 3584000 7168000 14336000