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14036000 = 255311229
BaseRepresentation
bin110101100010…
…110000100000
3222102002202212
4311202300200
512043123000
61220501252
7230206166
oct65426040
928362685
1014036000
117a17500
12484a828
132ba5934
141c15236
151373c35
hexd62c20

14036000 has 144 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 4928000.

The previous prime is 14035979. The next prime is 14036021. The reversal of 14036000 is 63041.

It is an interprime number because it is at equal distance from previous prime (14035979) and next prime (14036021).

It can be written as a sum of positive squares in 4 ways, for example, as 4276624 + 9759376 = 2068^2 + 3124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483986 + ... + 484014.

Almost surely, 214036000 is an apocalyptic number.

14036000 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 14036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

14036000 is an abundant number, since it is smaller than the sum of its proper divisors (25177720).

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

14036000 is a wasteful number, since it uses less digits than its factorization.

14036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14036000 is about 3746.4650005038. The cubic root of 14036000 is about 241.2206332210.

Adding to 14036000 its reverse (63041), we get a palindrome (14099041).

The spelling of 14036000 in words is "fourteen million, thirty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 80 88 100 110 116 121 125 145 160 176 200 220 232 242 250 275 290 319 352 400 440 464 484 500 550 580 605 638 725 800 880 928 968 1000 1100 1160 1210 1276 1375 1450 1595 1760 1936 2000 2200 2320 2420 2552 2750 2900 3025 3190 3509 3625 3872 4000 4400 4640 4840 5104 5500 5800 6050 6380 7018 7250 7975 8800 9680 10208 11000 11600 12100 12760 14036 14500 15125 15950 17545 19360 22000 23200 24200 25520 28072 29000 30250 31900 35090 39875 44000 48400 51040 56144 58000 60500 63800 70180 79750 87725 96800 112288 116000 121000 127600 140360 159500 175450 242000 255200 280720 319000 350900 438625 484000 561440 638000 701800 877250 1276000 1403600 1754500 2807200 3509000 7018000 14036000