Search a number
-
+
19239040 = 275231307
BaseRepresentation
bin100100101100…
…1000010000000
31100012110000001
41021121002000
514411122130
61524205344
7322346332
oct111310200
940173001
1019239040
11a950637
126539854
133ca7c62
1427ab452
151a506ca
hex1259080

19239040 has 64 divisors (see below), whose sum is σ = 48029760. Its totient is φ = 7355392.

The previous prime is 19239037. The next prime is 19239049. The reversal of 19239040 is 4093291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (19239049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14067 + ... + 15373.

It is an arithmetic number, because the mean of its divisors is an integer number (750465).

Almost surely, 219239040 is an apocalyptic number.

19239040 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 19239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014880).

19239040 is an abundant number, since it is smaller than the sum of its proper divisors (28790720).

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

19239040 is a wasteful number, since it uses less digits than its factorization.

19239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 19239040 is about 4386.2330079466. The cubic root of 19239040 is about 267.9545478722.

The spelling of 19239040 in words is "nineteen million, two hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1307 1472 1840 2614 2944 3680 5228 6535 7360 10456 13070 14720 20912 26140 30061 41824 52280 60122 83648 104560 120244 150305 167296 209120 240488 300610 418240 480976 601220 836480 961952 1202440 1923904 2404880 3847808 4809760 9619520 19239040