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19036728 = 2333312843
BaseRepresentation
bin100100010011…
…1101000111000
31022211011111000
41020213220320
514333133403
61520005000
7320544444
oct110475070
938734430
1019036728
11a822637
126460760
133c36b49
142757824
151a107a3
hex1227a38

19036728 has 64 divisors (see below), whose sum is σ = 54604800. Its totient is φ = 6138720.

The previous prime is 19036723. The next prime is 19036757. The reversal of 19036728 is 82763091.

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 Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19036692 and 19036701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19036723) 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 15 ways as a sum of consecutive naturals, for example, 5275 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (853200).

Almost surely, 219036728 is an apocalyptic number.

19036728 is a gapful number since it is divisible by the number (18) 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 19036728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302400).

19036728 is an abundant number, since it is smaller than the sum of its proper divisors (35568072).

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

19036728 is a wasteful number, since it uses less digits than its factorization.

19036728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19036728 is about 4363.1099000598. The cubic root of 19036728 is about 267.0119928965.

The spelling of 19036728 in words is "nineteen million, thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 2843 3348 5686 6696 8529 11372 17058 22744 25587 34116 51174 68232 76761 88133 102348 153522 176266 204696 264399 307044 352532 528798 614088 705064 793197 1057596 1586394 2115192 2379591 3172788 4759182 6345576 9518364 19036728