Search a number
-
+
19140975 = 335274051
BaseRepresentation
bin100100100000…
…1000101101111
31100000110111000
41021001011233
514400002400
61522131343
7321460410
oct111010557
940013430
1019140975
11a893997
1264b0b53
133c72429
142783807
151a31600
hex124116f

19140975 has 48 divisors (see below), whose sum is σ = 40195840. Its totient is φ = 8748000.

The previous prime is 19140971. The next prime is 19141013. The reversal of 19140975 is 57904191.

It is not a de Polignac number, because 19140975 - 22 = 19140971 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19140971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700 + ... + 6750.

Almost surely, 219140975 is an apocalyptic number.

19140975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19140975 is an abundant number, since it is smaller than the sum of its proper divisors (21054865).

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

19140975 is a wasteful number, since it uses less digits than its factorization.

19140975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 19140975 is about 4375.0399998171. The cubic root of 19140975 is about 267.4985005884.

The spelling of 19140975 in words is "nineteen million, one hundred forty thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4051 4725 12153 20255 28357 36459 60765 85071 101275 109377 141785 182295 255213 303825 425355 546885 708925 765639 911475 1276065 2126775 2734425 3828195 6380325 19140975