Search a number
-
+
14003000 = 2353111967
BaseRepresentation
bin110101011010…
…101100111000
3222100102111122
4311122230320
512041044000
61220044412
7230011034
oct65325470
928312448
1014003000
1179a4730
124833708
132b938cb
141c071c4
151369085
hexd5ab38

14003000 has 128 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 4752000.

The previous prime is 14002997. The next prime is 14003009. The reversal of 14003000 is 30041.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14003009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 208967 + ... + 209033.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 214003000 is an apocalyptic number.

14003000 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 14003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

14003000 is an abundant number, since it is smaller than the sum of its proper divisors (24185800).

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

14003000 is a wasteful number, since it uses less digits than its factorization.

14003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 14003000 is about 3742.0582571628. The cubic root of 14003000 is about 241.0314404899.

Adding to 14003000 its reverse (30041), we get a palindrome (14033041).

The spelling of 14003000 in words is "fourteen million, three thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 67 76 88 95 100 110 125 134 152 190 200 209 220 250 268 275 335 380 418 440 475 500 536 550 670 737 760 836 950 1000 1045 1100 1273 1340 1375 1474 1672 1675 1900 2090 2200 2375 2546 2680 2750 2948 3350 3685 3800 4180 4750 5092 5225 5500 5896 6365 6700 7370 8360 8375 9500 10184 10450 11000 12730 13400 14003 14740 16750 18425 19000 20900 25460 26125 28006 29480 31825 33500 36850 41800 50920 52250 56012 63650 67000 70015 73700 92125 104500 112024 127300 140030 147400 159125 184250 209000 254600 280060 318250 350075 368500 560120 636500 700150 737000 1273000 1400300 1750375 2800600 3500750 7001500 14003000