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14305700 = 2252294933
BaseRepresentation
bin110110100100…
…100110100100
3222220210201202
4312210212210
512130240300
61230342032
7232411403
oct66444644
928823652
1014305700
1180910a2
12495a918
132c6b616
141c8563a
1513c8ad5
hexda49a4

14305700 has 36 divisors (see below), whose sum is σ = 32120340. Its totient is φ = 5523840.

The previous prime is 14305699. The next prime is 14305703. The reversal of 14305700 is 750341.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 719104 + 13586596 = 848^2 + 3686^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14305703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 434 + ... + 5366.

Almost surely, 214305700 is an apocalyptic number.

14305700 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 14305700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060170).

14305700 is an abundant number, since it is smaller than the sum of its proper divisors (17814640).

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

14305700 is a wasteful number, since it uses less digits than its factorization.

14305700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 14305700 is about 3782.2876675367. The cubic root of 14305700 is about 242.7558499971.

The spelling of 14305700 in words is "fourteen million, three hundred five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4933 9866 19732 24665 49330 98660 123325 143057 246650 286114 493300 572228 715285 1430570 2861140 3576425 7152850 14305700