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1354540240 = 24516931753
BaseRepresentation
bin101000010111100…
…1010010011010000
310111101210202220001
41100233022103100
510233230241430
6342224255344
745365254624
oct12057122320
93441722801
101354540240
1163566a149
12319771554
13187822b01
14cbc7b184
157ddb53ca
hex50bca4d0

1354540240 has 20 divisors (see below), whose sum is σ = 3149306244. Its totient is φ = 541816064.

The previous prime is 1354540237. The next prime is 1354540303. The reversal of 1354540240 is 420454531.

It can be written as a sum of positive squares in 2 ways, for example, as 187361344 + 1167178896 = 13688^2 + 34164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1354540199 and 1354540208.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8465797 + ... + 8465956.

Almost surely, 21354540240 is an apocalyptic number.

1354540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354540240 is an abundant number, since it is smaller than the sum of its proper divisors (1794766004).

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

1354540240 is a wasteful number, since it uses less digits than its factorization.

1354540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16931766 (or 16931760 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 1354540240 is about 36804.0791217495. The cubic root of 1354540240 is about 1106.4470548560.

Adding to 1354540240 its reverse (420454531), we get a palindrome (1774994771).

The spelling of 1354540240 in words is "one billion, three hundred fifty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16931753 33863506 67727012 84658765 135454024 169317530 270908048 338635060 677270120 1354540240