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14113000 = 2353111283
BaseRepresentation
bin110101110101…
…100011101000
3222120000101201
4311311203220
512103104000
61222253544
7230646526
oct65654350
928500351
1014113000
117a6a340
1248872b4
132c019b5
141c35316
15138b96a
hexd758e8

14113000 has 64 divisors (see below), whose sum is σ = 36054720. Its totient is φ = 5128000.

The previous prime is 14112971. The next prime is 14113013. The reversal of 14113000 is 31141.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 10359 + ... + 11641.

It is an arithmetic number, because the mean of its divisors is an integer number (563355).

Almost surely, 214113000 is an apocalyptic number.

14113000 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 14113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18027360).

14113000 is an abundant number, since it is smaller than the sum of its proper divisors (21941720).

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

14113000 is a wasteful number, since it uses less digits than its factorization.

14113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 14113000 is about 3756.7272991262. The cubic root of 14113000 is about 241.6609326160.

Adding to 14113000 its reverse (31141), we get a palindrome (14144141).

The spelling of 14113000 in words is "fourteen million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1283 1375 2200 2566 2750 5132 5500 6415 10264 11000 12830 14113 25660 28226 32075 51320 56452 64150 70565 112904 128300 141130 160375 256600 282260 320750 352825 564520 641500 705650 1283000 1411300 1764125 2822600 3528250 7056500 14113000