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19389136 = 241331297
BaseRepresentation
bin100100111110…
…1101011010000
31100111001220011
41021331223100
514430423021
61531324304
7323543044
oct111755320
940431804
1019389136
11aa43388
1265b0694
13402b380
14280a024
151a7ede1
hex127dad0

19389136 has 60 divisors (see below), whose sum is σ = 42234276. Its totient is φ = 8570880.

The previous prime is 19389133. The next prime is 19389151. The reversal of 19389136 is 63198391.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 13838400 = 2356^2 + 3720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19389131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199840 + ... + 199936.

Almost surely, 219389136 is an apocalyptic number.

19389136 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 19389136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117138).

19389136 is an abundant number, since it is smaller than the sum of its proper divisors (22845140).

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

19389136 is a wasteful number, since it uses less digits than its factorization.

19389136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its digits is 34992, while the sum is 40.

The square root of 19389136 is about 4403.3096643320. The cubic root of 19389136 is about 268.6495715618.

The spelling of 19389136 in words is "nineteen million, three hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 97 104 124 194 208 248 388 403 496 776 806 961 1261 1552 1612 1922 2522 3007 3224 3844 5044 6014 6448 7688 10088 12028 12493 15376 20176 24056 24986 39091 48112 49972 78182 93217 99944 156364 186434 199888 312728 372868 625456 745736 1211821 1491472 2423642 4847284 9694568 19389136