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13238000 = 24536619
BaseRepresentation
bin110010011111…
…111011110000
3220220120010022
4302133323300
511342104000
61151423012
7220343516
oct62377360
926816108
1013238000
1175219a6
124524a68
132986649
141a884b6
151267585
hexc9fef0

13238000 has 40 divisors (see below), whose sum is σ = 32014320. Its totient is φ = 5294400.

The previous prime is 13237997. The next prime is 13238009. The reversal of 13238000 is 83231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13238000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13238009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1310 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (800358).

Almost surely, 213238000 is an apocalyptic number.

13238000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13238000 is an abundant number, since it is smaller than the sum of its proper divisors (18776320).

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

13238000 is an equidigital number, since it uses as much as digits as its factorization.

13238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13238000 is about 3638.4062444977. The cubic root of 13238000 is about 236.5597171555.

The spelling of 13238000 in words is "thirteen million, two hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6619 13238 26476 33095 52952 66190 105904 132380 165475 264760 330950 529520 661900 827375 1323800 1654750 2647600 3309500 6619000 13238000