[go: up one dir, main page]

Search a number
-
+
1005424431 = 31130467407
BaseRepresentation
bin111011111011011…
…000111100101111
32121001212212000220
4323323120330233
54024342040211
6243433422423
733625652364
oct7373307457
92531785026
101005424431
11476599290
1224086aa13
131303b91cb
149776046b
155d403806
hex3bed8f2f

1005424431 has 8 divisors (see below), whose sum is σ = 1462435584. Its totient is φ = 609348120.

The previous prime is 1005424417. The next prime is 1005424451. The reversal of 1005424431 is 1344245001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005424431 - 29 = 1005423919 is a prime.

It is a super-2 number, since 2×10054244312 = 2021756572903347522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005424451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15233671 + ... + 15233736.

It is an arithmetic number, because the mean of its divisors is an integer number (182804448).

Almost surely, 21005424431 is an apocalyptic number.

1005424431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005424431 is a deficient number, since it is larger than the sum of its proper divisors (457011153).

1005424431 is a wasteful number, since it uses less digits than its factorization.

1005424431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30467421.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1005424431 is about 31708.4283905715. The cubic root of 1005424431 is about 1001.8048841002.

Adding to 1005424431 its reverse (1344245001), we get a palindrome (2349669432).

The spelling of 1005424431 in words is "one billion, five million, four hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 30467407 91402221 335141477 1005424431