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14828040 = 2332541189
BaseRepresentation
bin111000100100…
…001000001000
31000220100020200
4320210020020
512243444130
61245452200
7240015303
oct70441010
930810220
1014828040
118408587
124b71060
1330c22b6
141d7db3a
15147d760
hexe24208

14828040 has 48 divisors (see below), whose sum is σ = 48192300. Its totient is φ = 3954048.

The previous prime is 14828039. The next prime is 14828053. The reversal of 14828040 is 4082841.

It can be written as a sum of positive squares in 2 ways, for example, as 11985444 + 2842596 = 3462^2 + 1686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14827995 and 14828013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20235 + ... + 20954.

Almost surely, 214828040 is an apocalyptic number.

14828040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14828040 is an abundant number, since it is smaller than the sum of its proper divisors (33364260).

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

14828040 is a wasteful number, since it uses less digits than its factorization.

14828040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41206 (or 41199 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14828040 is about 3850.7194133045. The cubic root of 14828040 is about 245.6751611713.

The spelling of 14828040 in words is "fourteen million, eight hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 41189 82378 123567 164756 205945 247134 329512 370701 411890 494268 617835 741402 823780 988536 1235670 1482804 1647560 1853505 2471340 2965608 3707010 4942680 7414020 14828040