Search a number
-
+
19209000 = 2335319337
BaseRepresentation
bin100100101000…
…1101100101000
31100010220210110
41021101230220
514404142000
61523414320
7322162626
oct111215450
940126713
1019209000
11a930008
1265243a0
133c97395
1427a0516
151a46850
hex1251b28

19209000 has 128 divisors (see below), whose sum is σ = 63273600. Its totient is φ = 4838400.

The previous prime is 19208993. The next prime is 19209037. The reversal of 19209000 is 90291.

It is a happy number.

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, 56832 + ... + 57168.

It is an arithmetic number, because the mean of its divisors is an integer number (494325).

Almost surely, 219209000 is an apocalyptic number.

19209000 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 19209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31636800).

19209000 is an abundant number, since it is smaller than the sum of its proper divisors (44064600).

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

19209000 is a wasteful number, since it uses less digits than its factorization.

19209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 19209000 is about 4382.8073195157. The cubic root of 19209000 is about 267.8150130565.

Adding to 19209000 its reverse (90291), we get a palindrome (19299291).

The spelling of 19209000 in words is "nineteen million, two hundred 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 95 100 114 120 125 150 152 190 200 228 250 285 300 337 375 380 456 475 500 570 600 674 750 760 950 1000 1011 1140 1348 1425 1500 1685 1900 2022 2280 2375 2696 2850 3000 3370 3800 4044 4750 5055 5700 6403 6740 7125 8088 8425 9500 10110 11400 12806 13480 14250 16850 19000 19209 20220 25275 25612 28500 32015 33700 38418 40440 42125 50550 51224 57000 64030 67400 76836 84250 96045 101100 126375 128060 153672 160075 168500 192090 202200 252750 256120 320150 337000 384180 480225 505500 640300 768360 800375 960450 1011000 1280600 1600750 1920900 2401125 3201500 3841800 4802250 6403000 9604500 19209000