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19382940 = 22325257419
BaseRepresentation
bin100100111110…
…0001010011100
31100110202101200
41021330022130
514430223230
61531235500
7323516013
oct111741234
940422350
1019382940
11aa39765
1265a8b90
1340285c5
142807a7a
151a7d160
hex127c29c

19382940 has 72 divisors (see below), whose sum is σ = 59164560. Its totient is φ = 5136384.

The previous prime is 19382927. The next prime is 19382947. The reversal of 19382940 is 4928391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19382895 and 19382904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19382947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46051 + ... + 46469.

It is an arithmetic number, because the mean of its divisors is an integer number (821730).

Almost surely, 219382940 is an apocalyptic number.

19382940 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 19382940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29582280).

19382940 is an abundant number, since it is smaller than the sum of its proper divisors (39781620).

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

19382940 is a wasteful number, since it uses less digits than its factorization.

19382940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19382940 is about 4402.6060464230. The cubic root of 19382940 is about 268.6209519251.

The spelling of 19382940 in words is "nineteen million, three hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 419 514 771 838 1028 1257 1285 1542 1676 2095 2313 2514 2570 3084 3771 3855 4190 4626 5028 5140 6285 7542 7710 8380 9252 11565 12570 15084 15420 18855 23130 25140 37710 46260 75420 107683 215366 323049 430732 538415 646098 969147 1076830 1292196 1615245 1938294 2153660 3230490 3876588 4845735 6460980 9691470 19382940