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19675136 = 21113739
BaseRepresentation
bin100101100001…
…1100000000000
31101000121012202
41023003200000
520014101021
61541412332
7326143625
oct113034000
941017182
1019675136
1110119248
12670a0a8
1340cb5c0
14288234c
151ad9a0b
hex12c3800

19675136 has 48 divisors (see below), whose sum is σ = 42424200. Its totient is φ = 9068544.

The previous prime is 19675133. The next prime is 19675193. The reversal of 19675136 is 63157691.

It is a super-3 number, since 3×196751363 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 19675136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19675133) 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 3 ways as a sum of consecutive naturals, for example, 26255 + ... + 26993.

Almost surely, 219675136 is an apocalyptic number.

19675136 is a gapful number since it is divisible by the number (16) 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 19675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212100).

19675136 is an abundant number, since it is smaller than the sum of its proper divisors (22749064).

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

19675136 is an equidigital number, since it uses as much as digits as its factorization.

19675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 754 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 19675136 is about 4435.6663535482. Note that the first 3 decimals coincide. The cubic root of 19675136 is about 269.9640372769.

The spelling of 19675136 in words is "nineteen million, six hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 739 832 1024 1478 1664 2048 2956 3328 5912 6656 9607 11824 13312 19214 23648 26624 38428 47296 76856 94592 153712 189184 307424 378368 614848 756736 1229696 1513472 2459392 4918784 9837568 19675136