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1040059361 = 114310920173
BaseRepresentation
bin111101111111100…
…000101111100001
32200111001111020002
4331333200233201
54112223344421
6251112025345
734526234015
oct7577405741
92614044202
101040059361
114940a4aa0
12250392255
13137624a53
149c1b8545
1561495b0b
hex3dfe0be1

1040059361 has 16 divisors (see below), whose sum is σ = 1171705920. Its totient is φ = 915001920.

The previous prime is 1040059357. The next prime is 1040059369. The reversal of 1040059361 is 1639500401.

It is a cyclic number.

It is not a de Polignac number, because 1040059361 - 22 = 1040059357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1040059369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41471 + ... + 61643.

It is an arithmetic number, because the mean of its divisors is an integer number (73231620).

Almost surely, 21040059361 is an apocalyptic number.

1040059361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1040059361 is a deficient number, since it is larger than the sum of its proper divisors (131646559).

1040059361 is a wasteful number, since it uses less digits than its factorization.

1040059361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20336.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1040059361 is about 32249.9513332966. The cubic root of 1040059361 is about 1013.1786797853.

Adding to 1040059361 its reverse (1639500401), we get a palindrome (2679559762).

The spelling of 1040059361 in words is "one billion, forty million, fifty-nine thousand, three hundred sixty-one".

Divisors: 1 11 43 109 473 1199 4687 20173 51557 221903 867439 2198857 9541829 24187427 94550851 1040059361