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14930320 = 245186629
BaseRepresentation
bin111000111101…
…000110010000
31001002112112211
4320331012100
512310232240
61252001504
7240622426
oct70750620
931075484
1014930320
118478409
125000294
133129a12
141da9116
15149dbea
hexe3d190

14930320 has 20 divisors (see below), whose sum is σ = 34713180. Its totient is φ = 5972096.

The previous prime is 14930317. The next prime is 14930329. The reversal of 14930320 is 2303941.

It can be written as a sum of positive squares in 2 ways, for example, as 4276624 + 10653696 = 2068^2 + 3264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 14930291 and 14930300.

It is not an unprimeable number, because it can be changed into a prime (14930329) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 93235 + ... + 93394.

It is an arithmetic number, because the mean of its divisors is an integer number (1735659).

Almost surely, 214930320 is an apocalyptic number.

14930320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14930320 is an abundant number, since it is smaller than the sum of its proper divisors (19782860).

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

14930320 is a wasteful number, since it uses less digits than its factorization.

14930320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186642 (or 186636 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 14930320 is about 3863.9772256058. The cubic root of 14930320 is about 246.2387353449.

The spelling of 14930320 in words is "fourteen million, nine hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 186629 373258 746516 933145 1493032 1866290 2986064 3732580 7465160 14930320