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14084500 = 2253171657
BaseRepresentation
bin110101101110…
…100110010100
3222111120022011
4311232212110
512101201000
61221514004
7230500453
oct65564624
928446264
1014084500
117a4a991
124872904
132bc1a31
141c28b9a
1513832ba
hexd6e994

14084500 has 48 divisors (see below), whose sum is σ = 32589648. Its totient is φ = 5299200.

The previous prime is 14084489. The next prime is 14084501. The reversal of 14084500 is 548041.

It can be written as a sum of positive squares in 8 ways, for example, as 3857296 + 10227204 = 1964^2 + 3198^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14084501) 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 15 ways as a sum of consecutive naturals, for example, 7672 + ... + 9328.

It is an arithmetic number, because the mean of its divisors is an integer number (678951).

Almost surely, 214084500 is an apocalyptic number.

14084500 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 14084500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294824).

14084500 is an abundant number, since it is smaller than the sum of its proper divisors (18505148).

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

14084500 is a wasteful number, since it uses less digits than its factorization.

14084500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 14084500 is about 3752.9321869706. The cubic root of 14084500 is about 241.4981517776.

The spelling of 14084500 in words is "fourteen million, eighty-four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1657 1700 2125 3314 4250 6628 8285 8500 16570 28169 33140 41425 56338 82850 112676 140845 165700 207125 281690 414250 563380 704225 828500 1408450 2816900 3521125 7042250 14084500