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14416640 = 28571609
BaseRepresentation
bin110110111111…
…101100000000
31000010102220122
4312333230000
512142313030
61232555412
7233353010
oct66775400
930112818
1014416640
118157487
1249b2b68
132ca9c74
141cb3c40
1513eb8e5
hexdbfb00

14416640 has 72 divisors (see below), whose sum is σ = 39490080. Its totient is φ = 4939776.

The previous prime is 14416637. The next prime is 14416651. The reversal of 14416640 is 4661441.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8156 + ... + 9764.

Almost surely, 214416640 is an apocalyptic number.

14416640 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 14416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19745040).

14416640 is an abundant number, since it is smaller than the sum of its proper divisors (25073440).

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

14416640 is an equidigital number, since it uses as much as digits as its factorization.

14416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14416640 is about 3796.9250716863. The cubic root of 14416640 is about 243.3817547141.

The spelling of 14416640 in words is "fourteen million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1609 1792 2240 3218 4480 6436 8045 8960 11263 12872 16090 22526 25744 32180 45052 51488 56315 64360 90104 102976 112630 128720 180208 205952 225260 257440 360416 411904 450520 514880 720832 901040 1029760 1441664 1802080 2059520 2883328 3604160 7208320 14416640