Search a number
-
+
19236126 = 237313719
BaseRepresentation
bin100100101100…
…0010100011110
31100012022000010
41021120110132
514411024001
61524144050
7322335000
oct111302436
940168003
1019236126
11a949428
126538026
133ca6830
1427aa370
151a4e8d6
hex125851e

19236126 has 64 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 5066208.

The previous prime is 19236121. The next prime is 19236143. The reversal of 19236126 is 62163291.

It is a junction number, because it is equal to n+sod(n) for n = 19236093 and 19236102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19236121) 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 31 ways as a sum of consecutive naturals, for example, 26395 + ... + 27113.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 219236126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19236126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

19236126 is an abundant number, since it is smaller than the sum of its proper divisors (29147874).

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

19236126 is a wasteful number, since it uses less digits than its factorization.

19236126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 19236126 is about 4385.9008196721. The cubic root of 19236126 is about 267.9410188018.

The spelling of 19236126 in words is "nineteen million, two hundred thirty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 719 1029 1274 1438 1911 2058 2157 3822 4314 4459 5033 8918 9347 10066 13377 15099 18694 26754 28041 30198 35231 56082 65429 70462 105693 130858 196287 211386 246617 392574 458003 493234 739851 916006 1374009 1479702 2748018 3206021 6412042 9618063 19236126