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14365000 = 235413217
BaseRepresentation
bin110110110011…
…000101001000
31000000211002001
4312303011020
512134140000
61231520344
7233046316
oct66630510
930024061
1014365000
118121701
1249890b4
132c8c600
141c9d0b6
1513db46a
hexdb3148

14365000 has 120 divisors (see below), whose sum is σ = 38589210. Its totient is φ = 4992000.

The previous prime is 14364989. The next prime is 14365003. The reversal of 14365000 is 56341.

It can be written as a sum of positive squares in 15 ways, for example, as 9084196 + 5280804 = 3014^2 + 2298^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14365003) 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 29 ways as a sum of consecutive naturals, for example, 844992 + ... + 845008.

Almost surely, 214365000 is an apocalyptic number.

14365000 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 14365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19294605).

14365000 is an abundant number, since it is smaller than the sum of its proper divisors (24224210).

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

14365000 is a wasteful number, since it uses less digits than its factorization.

14365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 14365000 is about 3790.1187316494. The cubic root of 14365000 is about 243.0908115146.

The spelling of 14365000 in words is "fourteen million, three hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 169 170 200 221 250 260 325 338 340 425 442 500 520 625 650 676 680 845 850 884 1000 1105 1250 1300 1352 1625 1690 1700 1768 2125 2210 2500 2600 2873 3250 3380 3400 4225 4250 4420 5000 5525 5746 6500 6760 8125 8450 8500 8840 10625 11050 11492 13000 14365 16250 16900 17000 21125 21250 22100 22984 27625 28730 32500 33800 42250 42500 44200 55250 57460 65000 71825 84500 85000 105625 110500 114920 138125 143650 169000 211250 221000 276250 287300 359125 422500 552500 574600 718250 845000 1105000 1436500 1795625 2873000 3591250 7182500 14365000