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14069000 = 2353111279
BaseRepresentation
bin110101101010…
…110100001000
3222110210001002
4311222310020
512100202000
61221314132
7230404331
oct65526410
928423032
1014069000
117a3a280
124865948
132bb796a
141c23288
15137d8d5
hexd6ad08

14069000 has 64 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 5112000.

The previous prime is 14068961. The next prime is 14069017. The reversal of 14069000 is 96041.

It is a super-2 number, since 2×140690002 = 395873522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10361 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 214069000 is an apocalyptic number.

14069000 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 14069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

14069000 is an abundant number, since it is smaller than the sum of its proper divisors (21873400).

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

14069000 is a wasteful number, since it uses less digits than its factorization.

14069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 14069000 is about 3750.8665665417. The cubic root of 14069000 is about 241.4095296437.

The spelling of 14069000 in words is "fourteen million, sixty-nine 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 1279 1375 2200 2558 2750 5116 5500 6395 10232 11000 12790 14069 25580 28138 31975 51160 56276 63950 70345 112552 127900 140690 159875 255800 281380 319750 351725 562760 639500 703450 1279000 1406900 1758625 2813800 3517250 7034500 14069000