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14093000 = 235317829
BaseRepresentation
bin110101110000…
…101011001000
3222111222221222
4311300223020
512101434000
61222021212
7230534315
oct65605310
928458858
1014093000
117a56309
124877808
132bc586c
141c2bd0c
151385a85
hexd70ac8

14093000 has 64 divisors (see below), whose sum is σ = 34959600. Its totient is φ = 5299200.

The previous prime is 14092999. The next prime is 14093029. The reversal of 14093000 is 39041.

It can be written as a sum of positive squares in 8 ways, for example, as 1800964 + 12292036 = 1342^2 + 3506^2 .

It is a super-2 number, since 2×140930002 = 397225298000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 14093000.

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, 16586 + ... + 17414.

Almost surely, 214093000 is an apocalyptic number.

14093000 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 14093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17479800).

14093000 is an abundant number, since it is smaller than the sum of its proper divisors (20866600).

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

14093000 is a wasteful number, since it uses less digits than its factorization.

14093000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 14093000 is about 3754.0644640176. The cubic root of 14093000 is about 241.5467234104.

The spelling of 14093000 in words is "fourteen million, ninety-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 829 850 1000 1658 1700 2125 3316 3400 4145 4250 6632 8290 8500 14093 16580 17000 20725 28186 33160 41450 56372 70465 82900 103625 112744 140930 165800 207250 281860 352325 414500 563720 704650 829000 1409300 1761625 2818600 3523250 7046500 14093000