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14137000 = 235367211
BaseRepresentation
bin110101111011…
…011010101000
3222121020022121
4311323122220
512104341000
61223001024
7231106513
oct65733250
928536277
1014137000
117a86379
124899174
132c0c8b7
141c3dd7a
151393b1a
hexd7b6a8

14137000 has 64 divisors (see below), whose sum is σ = 33733440. Its totient is φ = 5544000.

The previous prime is 14136953. The next prime is 14137009. The reversal of 14137000 is 73141.

It is not an unprimeable number, because it can be changed into a prime (14137009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66895 + ... + 67105.

It is an arithmetic number, because the mean of its divisors is an integer number (527085).

Almost surely, 214137000 is an apocalyptic number.

14137000 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 14137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866720).

14137000 is an abundant number, since it is smaller than the sum of its proper divisors (19596440).

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

14137000 is a wasteful number, since it uses less digits than its factorization.

14137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 14137000 is about 3759.9202119194. The cubic root of 14137000 is about 241.7978413246.

The spelling of 14137000 in words is "fourteen million, one hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 211 250 268 335 422 500 536 670 844 1000 1055 1340 1675 1688 2110 2680 3350 4220 5275 6700 8375 8440 10550 13400 14137 16750 21100 26375 28274 33500 42200 52750 56548 67000 70685 105500 113096 141370 211000 282740 353425 565480 706850 1413700 1767125 2827400 3534250 7068500 14137000