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14008380 = 22352310151
BaseRepresentation
bin110101011100…
…000000111100
3222100200212220
4311130000330
512041232010
61220125340
7230032521
oct65340074
928320786
1014008380
1179a8781
124836850
132b961a9
141c09148
15136a970
hexd5c03c

14008380 has 48 divisors (see below), whose sum is σ = 40932864. Its totient is φ = 3572800.

The previous prime is 14008369. The next prime is 14008381. The reversal of 14008380 is 8380041.

It is a self number, because there is not a number n which added to its sum of digits gives 14008380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14008381) 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 15 ways as a sum of consecutive naturals, for example, 3696 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (852768).

Almost surely, 214008380 is an apocalyptic number.

14008380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14008380 is an abundant number, since it is smaller than the sum of its proper divisors (26924484).

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

14008380 is a wasteful number, since it uses less digits than its factorization.

14008380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14008380 is about 3742.7770438539. Note that the first 3 decimals coincide. The cubic root of 14008380 is about 241.0623049026.

The spelling of 14008380 in words is "fourteen million, eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 10151 20302 30453 40604 50755 60906 101510 121812 152265 203020 233473 304530 466946 609060 700419 933892 1167365 1400838 2334730 2801676 3502095 4669460 7004190 14008380