Search a number
-
+
1232142432 = 25312834817
BaseRepresentation
bin100100101110001…
…0000000001100000
310011212111022122220
41021130100001200
510010412024212
6322133031040
742351015663
oct11134200140
93155438586
101232142432
1158256a934
122a4785480
13168369681
14b98d96da
157328938c
hex49710060

1232142432 has 24 divisors (see below), whose sum is σ = 3234374136. Its totient is φ = 410714112.

The previous prime is 1232142427. The next prime is 1232142469. The reversal of 1232142432 is 2342412321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6417313 + ... + 6417504.

It is an arithmetic number, because the mean of its divisors is an integer number (134765589).

Almost surely, 21232142432 is an apocalyptic number.

1232142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1232142432 is an abundant number, since it is smaller than the sum of its proper divisors (2002231704).

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

1232142432 is a wasteful number, since it uses less digits than its factorization.

1232142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834830 (or 12834822 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1232142432 is about 35101.8864450331. The cubic root of 1232142432 is about 1072.0629928826.

Adding to 1232142432 its reverse (2342412321), we get a palindrome (3574554753).

The spelling of 1232142432 in words is "one billion, two hundred thirty-two million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12834817 25669634 38504451 51339268 77008902 102678536 154017804 205357072 308035608 410714144 616071216 1232142432