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14428240 = 245171032
BaseRepresentation
bin110111000010…
…100001010000
31000011000211021
4313002201100
512143200430
61233125224
7233431561
oct67024120
930130737
1014428240
118165172
1249b9814
132cb2328
141cb8168
15140007a
hexdc2850

14428240 has 60 divisors (see below), whose sum is σ = 35867124. Its totient is φ = 5379072.

The previous prime is 14428229. The next prime is 14428241. The reversal of 14428240 is 4282441.

It can be written as a sum of positive squares in 2 ways, for example, as 8317456 + 6110784 = 2884^2 + 2472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14428241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140029 + ... + 140131.

Almost surely, 214428240 is an apocalyptic number.

14428240 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 14428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933562).

14428240 is an abundant number, since it is smaller than the sum of its proper divisors (21438884).

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

14428240 is a wasteful number, since it uses less digits than its factorization.

14428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 14428240 is about 3798.4523164047. The cubic root of 14428240 is about 243.4470142910.

The spelling of 14428240 in words is "fourteen million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 103 136 170 206 272 340 412 515 680 824 1030 1360 1648 1751 2060 3502 4120 7004 8240 8755 10609 14008 17510 21218 28016 35020 42436 53045 70040 84872 106090 140080 169744 180353 212180 360706 424360 721412 848720 901765 1442824 1803530 2885648 3607060 7214120 14428240