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14428320 = 253530059
BaseRepresentation
bin110111000010…
…100010100000
31000011000221020
4313002202200
512143201240
61233125440
7233432034
oct67024240
930130836
1014428320
118165235
1249b9880
132cb238a
141cb81c4
1514000d0
hexdc28a0

14428320 has 48 divisors (see below), whose sum is σ = 45450720. Its totient is φ = 3847424.

The previous prime is 14428319. The next prime is 14428321. The reversal of 14428320 is 2382441.

It is an interprime number because it is at equal distance from previous prime (14428319) and next prime (14428321).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14428321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14550 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (946890).

Almost surely, 214428320 is an apocalyptic number.

14428320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14428320 is an abundant number, since it is smaller than the sum of its proper divisors (31022400).

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

14428320 is a wasteful number, since it uses less digits than its factorization.

14428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30077 (or 30069 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14428320 is about 3798.4628469948. The cubic root of 14428320 is about 243.4474642355.

The spelling of 14428320 in words is "fourteen million, four hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 30059 60118 90177 120236 150295 180354 240472 300590 360708 450885 480944 601180 721416 901770 961888 1202360 1442832 1803540 2404720 2885664 3607080 4809440 7214160 14428320