Search a number
-
+
19938105 = 3251147857
BaseRepresentation
bin100110000001…
…1101100111001
31101111221221100
41030003230321
520101004410
61551202013
7331320405
oct114035471
941457840
1019938105
1110288880
126816309
1341911c5
142910105
151b3c8c0
hex1303b39

19938105 has 48 divisors (see below), whose sum is σ = 38548224. Its totient is φ = 9450240.

The previous prime is 19938103. The next prime is 19938119. The reversal of 19938105 is 50183991.

It is a happy number.

It is not a de Polignac number, because 19938105 - 21 = 19938103 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19938105.

It is not an unprimeable number, because it can be changed into a prime (19938103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22837 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (803088).

Almost surely, 219938105 is an apocalyptic number.

19938105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19938105 is a deficient number, since it is larger than the sum of its proper divisors (18610119).

19938105 is a wasteful number, since it uses less digits than its factorization.

19938105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 19938105 is about 4465.2105213528. The cubic root of 19938105 is about 271.1614575059.

The spelling of 19938105 in words is "nineteen million, nine hundred thirty-eight thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 47 55 99 141 165 235 423 495 517 705 857 1551 2115 2571 2585 4285 4653 7713 7755 9427 12855 23265 28281 38565 40279 47135 84843 120837 141405 201395 362511 424215 443069 604185 1329207 1812555 2215345 3987621 6646035 19938105