Search a number
-
+
1000507540 = 225291725013
BaseRepresentation
bin111011101000101…
…000100010010100
32120201122001022211
4323220220202110
54022112220130
6243140203204
733536113414
oct7350504224
92521561284
101000507540
1147384013a
1223b099504
1312c3871c6
1496c40644
155cc81a2a
hex3ba28894

1000507540 has 24 divisors (see below), whose sum is σ = 2173517640. Its totient is φ = 386402688.

The previous prime is 1000507523. The next prime is 1000507549. The reversal of 1000507540 is 457050001.

It can be written as a sum of positive squares in 4 ways, for example, as 252047376 + 748460164 = 15876^2 + 27358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000507549) 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 7 ways as a sum of consecutive naturals, for example, 861927 + ... + 863086.

It is an arithmetic number, because the mean of its divisors is an integer number (90563235).

Almost surely, 21000507540 is an apocalyptic number.

1000507540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000507540 is an abundant number, since it is smaller than the sum of its proper divisors (1173010100).

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

1000507540 is a wasteful number, since it uses less digits than its factorization.

1000507540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725051 (or 1725049 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 1000507540 is about 31630.8004957194. The cubic root of 1000507540 is about 1000.1691513862.

Adding to 1000507540 its reverse (457050001), we get a palindrome (1457557541).

The spelling of 1000507540 in words is "one billion, five hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1725013 3450026 6900052 8625065 17250130 34500260 50025377 100050754 200101508 250126885 500253770 1000507540