Search a number
-
+
1003141540 = 225237721101
BaseRepresentation
bin111011110010101…
…011100110100100
32120220120212111101
4323302223212210
54023301012130
6243312445444
733600363622
oct7362534644
92526525441
101003141540
1147527a0a5
1223bb49884
1312ca9a09b
1497328512
155d1021ca
hex3bcab9a4

1003141540 has 24 divisors (see below), whose sum is σ = 2107583352. Its totient is φ = 401068800.

The previous prime is 1003141511. The next prime is 1003141549. The reversal of 1003141540 is 451413001.

It can be written as a sum of positive squares in 4 ways, for example, as 16176484 + 986965056 = 4022^2 + 31416^2 .

It is not an unprimeable number, because it can be changed into a prime (1003141549) 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 7 ways as a sum of consecutive naturals, for example, 36990 + ... + 58090.

It is an arithmetic number, because the mean of its divisors is an integer number (87815973).

Almost surely, 21003141540 is an apocalyptic number.

1003141540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003141540 is an abundant number, since it is smaller than the sum of its proper divisors (1104441812).

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

1003141540 is a wasteful number, since it uses less digits than its factorization.

1003141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23487 (or 23485 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1003141540 is about 31672.4097599156. The cubic root of 1003141540 is about 1001.0460853239.

Adding to 1003141540 its reverse (451413001), we get a palindrome (1454554541).

The spelling of 1003141540 in words is "one billion, three million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2377 4754 9508 11885 21101 23770 42202 47540 84404 105505 211010 422020 50157077 100314154 200628308 250785385 501570770 1003141540