Search a number
-
+
19119744 = 273272371
BaseRepresentation
bin100100011101…
…1111010000000
31022222101100200
41020323322000
514343312434
61521445200
7321341460
oct110737200
938871320
1019119744
11a879a46
1264a0800
133c65877
142779ba0
151a2a199
hex123be80

19119744 has 96 divisors (see below), whose sum is σ = 62905440. Its totient is φ = 5460480.

The previous prime is 19119733. The next prime is 19119769. The reversal of 19119744 is 44791191.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×191197442 = 731129221251072, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19119699 and 19119708.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6879 + ... + 9249.

It is an arithmetic number, because the mean of its divisors is an integer number (655265).

Almost surely, 219119744 is an apocalyptic number.

19119744 is a gapful number since it is divisible by the number (14) 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 19119744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31452720).

19119744 is an abundant number, since it is smaller than the sum of its proper divisors (43785696).

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

19119744 is a wasteful number, since it uses less digits than its factorization.

19119744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2383 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 19119744 is about 4372.6129487985. The cubic root of 19119744 is about 267.3995616759.

The spelling of 19119744 in words is "nineteen million, one hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2371 2688 4032 4742 7113 8064 9484 14226 16597 18968 21339 28452 33194 37936 42678 49791 56904 66388 75872 85356 99582 113808 132776 149373 151744 170712 199164 227616 265552 298746 303488 341424 398328 455232 531104 597492 682848 796656 910464 1062208 1194984 1365696 1593312 2124416 2389968 2731392 3186624 4779936 6373248 9559872 19119744