Search a number
-
+
19144593 = 341318181
BaseRepresentation
bin100100100000…
…1111110010001
31100000122110000
41021001332101
514400111333
61522200213
7321504066
oct111017621
940018400
1019144593
11a896686
1264b3069
133c73c80
142784c6d
151a32713
hex1241f91

19144593 has 20 divisors (see below), whose sum is σ = 30800308. Its totient is φ = 11780640.

The previous prime is 19144591. The next prime is 19144597. The reversal of 19144593 is 39544191.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 7935489 = 3348^2 + 2817^2 .

It is not a de Polignac number, because 19144593 - 21 = 19144591 is a prime.

It is a super-2 number, since 2×191445932 = 733030882271298, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19144591) 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 19 ways as a sum of consecutive naturals, for example, 8038 + ... + 10143.

Almost surely, 219144593 is an apocalyptic number.

19144593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

19144593 is a deficient number, since it is larger than the sum of its proper divisors (11655715).

19144593 is a wasteful number, since it uses less digits than its factorization.

19144593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18206 (or 18197 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 19144593 is about 4375.4534622139. The cubic root of 19144593 is about 267.5153535893.

The spelling of 19144593 in words is "nineteen million, one hundred forty-four thousand, five hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 18181 54543 163629 236353 490887 709059 1472661 2127177 6381531 19144593