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18939000 = 2335359107
BaseRepresentation
bin100100000111…
…1110001111000
31022122012102110
41020033301320
514322022000
61513532320
7316656513
oct110176170
938565373
1018939000
11a766173
1264140a0
133c01512
14272dd7a
1519e1850
hex120fc78

18939000 has 128 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 4918400.

The previous prime is 18938999. The next prime is 18939013. The reversal of 18939000 is 93981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176947 + ... + 177053.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 218939000 is an apocalyptic number.

18939000 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 18939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

18939000 is an abundant number, since it is smaller than the sum of its proper divisors (41713800).

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

18939000 is a wasteful number, since it uses less digits than its factorization.

18939000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 18939000 is about 4351.8961384665. The cubic root of 18939000 is about 266.5542929300.

The spelling of 18939000 in words is "eighteen million, nine hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 107 118 120 125 150 177 200 214 236 250 295 300 321 354 375 428 472 500 535 590 600 642 708 750 856 885 1000 1070 1180 1284 1416 1475 1500 1605 1770 2140 2360 2568 2675 2950 3000 3210 3540 4280 4425 5350 5900 6313 6420 7080 7375 8025 8850 10700 11800 12626 12840 13375 14750 16050 17700 18939 21400 22125 25252 26750 29500 31565 32100 35400 37878 40125 44250 50504 53500 59000 63130 64200 75756 80250 88500 94695 107000 126260 151512 157825 160500 177000 189390 252520 315650 321000 378780 473475 631300 757560 789125 946950 1262600 1578250 1893900 2367375 3156500 3787800 4734750 6313000 9469500 18939000