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14035420 = 2257293457
BaseRepresentation
bin110101100010…
…100111011100
3222102001222101
4311202213130
512043113140
61220454444
7230204410
oct65424734
928361871
1014035420
117a17023
12484a424
132ba55a9
141c14d40
15137399a
hexd629dc

14035420 has 48 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 4644864.

The previous prime is 14035409. The next prime is 14035423. The reversal of 14035420 is 2453041.

14035420 = 14132 + 14142 + ... + 14192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14035423) 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, 2332 + ... + 5788.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 214035420 is an apocalyptic number.

14035420 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 14035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

14035420 is an abundant number, since it is smaller than the sum of its proper divisors (20821220).

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

14035420 is a wasteful number, since it uses less digits than its factorization.

14035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 14035420 is about 3746.3875934025. The cubic root of 14035420 is about 241.2173105770.

Adding to 14035420 its reverse (2453041), we get a palindrome (16488461).

The spelling of 14035420 in words is "fourteen million, thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3457 4060 6914 13828 17285 24199 34570 48398 69140 96796 100253 120995 200506 241990 401012 483980 501265 701771 1002530 1403542 2005060 2807084 3508855 7017710 14035420