Search a number
-
+
1540134045 = 32541834761
BaseRepresentation
bin101101111001100…
…1001010010011101
310222100000220201200
41123303021102131
511123233242140
6412454230113
753110631502
oct13363112235
93870026650
101540134045
1172040255a
1236b955339
131b7104b28
1410878d4a9
1590326030
hex5bcc949d

1540134045 has 24 divisors (see below), whose sum is σ = 2734680312. Its totient is φ = 801369600.

The previous prime is 1540134041. The next prime is 1540134067. The reversal of 1540134045 is 5404310451.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 74545956 + 1465588089 = 8634^2 + 38283^2 .

It is not a de Polignac number, because 1540134045 - 22 = 1540134041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540134041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415536 + ... + 419225.

It is an arithmetic number, because the mean of its divisors is an integer number (113945013).

Almost surely, 21540134045 is an apocalyptic number.

1540134045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1540134045 is a deficient number, since it is larger than the sum of its proper divisors (1194546267).

1540134045 is a wasteful number, since it uses less digits than its factorization.

1540134045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834813 (or 834810 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1540134045 is about 39244.5415949785. The cubic root of 1540134045 is about 1154.8338547768.

Adding to 1540134045 its reverse (5404310451), we get a palindrome (6944444496).

The spelling of 1540134045 in words is "one billion, five hundred forty million, one hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 834761 2504283 4173805 7512849 12521415 34225201 37564245 102675603 171126005 308026809 513378015 1540134045