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14053000 = 2353132347
BaseRepresentation
bin110101100110…
…111010001000
3222102222002111
4311212322020
512044144000
61221112104
7230306563
oct65467210
928388074
1014053000
117a29255
124858634
132bb05b0
141c1b4da
151378cba
hexd66e88

14053000 has 128 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4857600.

The previous prime is 14052991. The next prime is 14053009. The reversal of 14053000 is 35041.

14053000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14052991) and next prime (14053009).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (14053009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298977 + ... + 299023.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 214053000 is an apocalyptic number.

14053000 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 14053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

14053000 is an abundant number, since it is smaller than the sum of its proper divisors (23686520).

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

14053000 is a wasteful number, since it uses less digits than its factorization.

14053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 14053000 is about 3748.7331193351. The cubic root of 14053000 is about 241.3179804307.

Adding to 14053000 its reverse (35041), we get a palindrome (14088041).

The spelling of 14053000 in words is "fourteen million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 47 50 52 65 92 94 100 104 115 125 130 184 188 200 230 235 250 260 299 325 376 460 470 500 520 575 598 611 650 920 940 1000 1081 1150 1175 1196 1222 1300 1495 1625 1880 2162 2300 2350 2392 2444 2600 2875 2990 3055 3250 4324 4600 4700 4888 5405 5750 5875 5980 6110 6500 7475 8648 9400 10810 11500 11750 11960 12220 13000 14053 14950 15275 21620 23000 23500 24440 27025 28106 29900 30550 37375 43240 47000 54050 56212 59800 61100 70265 74750 76375 108100 112424 122200 135125 140530 149500 152750 216200 270250 281060 299000 305500 351325 540500 562120 611000 702650 1081000 1405300 1756625 2810600 3513250 7026500 14053000