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19135008 = 253322147
BaseRepresentation
bin100100011111…
…1101000100000
31100000011022000
41020333220200
514344310013
61522044000
7321434124
oct110775040
940004260
1019135008
11a88a462
1264a9600
133c6c7b9
142781584
151a2e973
hex123fa20

19135008 has 48 divisors (see below), whose sum is σ = 55812960. Its totient is φ = 6378048.

The previous prime is 19135007. The next prime is 19135009. The reversal of 19135008 is 80053191.

It is an interprime number because it is at equal distance from previous prime (19135007) and next prime (19135009).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×191350082 = 732297062320128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19135007) 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 7 ways as a sum of consecutive naturals, for example, 10210 + ... + 11937.

It is an arithmetic number, because the mean of its divisors is an integer number (1162770).

Almost surely, 219135008 is an apocalyptic number.

19135008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19135008 is an abundant number, since it is smaller than the sum of its proper divisors (36677952).

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

19135008 is a wasteful number, since it uses less digits than its factorization.

19135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22166 (or 22152 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 19135008 is about 4374.3580100399. The cubic root of 19135008 is about 267.4707010738.

Adding to 19135008 its reverse (80053191), we get a palindrome (99188199).

The spelling of 19135008 in words is "nineteen million, one hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 22147 44294 66441 88588 132882 177176 199323 265764 354352 398646 531528 597969 708704 797292 1063056 1195938 1594584 2126112 2391876 3189168 4783752 6378336 9567504 19135008