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14390080 = 265193233
BaseRepresentation
bin110110111001…
…001101000000
31000002002110221
4312321031000
512140440310
61232232424
7233212405
oct66711500
930062427
1014390080
118139531
12499b714
132c9ab53
141ca82ac
1513e3ada
hexdb9340

14390080 has 56 divisors (see below), whose sum is σ = 34591752. Its totient is φ = 5701632.

The previous prime is 14390063. The next prime is 14390093. The reversal of 14390080 is 8009341.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 14379264 = 104^2 + 3792^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61644 + ... + 61876.

Almost surely, 214390080 is an apocalyptic number.

14390080 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 14390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295876).

14390080 is an abundant number, since it is smaller than the sum of its proper divisors (20201672).

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

14390080 is a wasteful number, since it uses less digits than its factorization.

14390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 14390080 is about 3793.4258922510. The cubic root of 14390080 is about 243.2322008378.

The spelling of 14390080 in words is "fourteen million, three hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 193 233 320 386 466 772 932 965 1165 1544 1864 1930 2330 3088 3728 3860 4660 6176 7456 7720 9320 12352 14912 15440 18640 30880 37280 44969 61760 74560 89938 179876 224845 359752 449690 719504 899380 1439008 1798760 2878016 3597520 7195040 14390080