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12939000 = 2335319227
BaseRepresentation
bin110001010110…
…111011111000
3220100100222020
4301112323320
511303022000
61141154440
7214660014
oct61267370
926310866
1012939000
117338298
1243bba20
1328b0519
141a0b544
151208ba0
hexc56ef8

12939000 has 128 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 3254400.

The previous prime is 12938987. The next prime is 12939007. The reversal of 12939000 is 93921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12939007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56887 + ... + 57113.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 212939000 is an apocalyptic number.

12939000 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 12939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

12939000 is an abundant number, since it is smaller than the sum of its proper divisors (29742600).

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

12939000 is a wasteful number, since it uses less digits than its factorization.

12939000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 12939000 is about 3597.0821508551. The cubic root of 12939000 is about 234.7651191719.

The spelling of 12939000 in words is "twelve million, nine hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 227 228 250 285 300 375 380 454 456 475 500 570 600 681 750 760 908 950 1000 1135 1140 1362 1425 1500 1816 1900 2270 2280 2375 2724 2850 3000 3405 3800 4313 4540 4750 5448 5675 5700 6810 7125 8626 9080 9500 11350 11400 12939 13620 14250 17025 17252 19000 21565 22700 25878 27240 28375 28500 34050 34504 43130 45400 51756 56750 57000 64695 68100 85125 86260 103512 107825 113500 129390 136200 170250 172520 215650 227000 258780 323475 340500 431300 517560 539125 646950 681000 862600 1078250 1293900 1617375 2156500 2587800 3234750 4313000 6469500 12939000