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1132142420 = 22556607121
BaseRepresentation
bin100001101111011…
…0001111101010100
32220220022210102202
41003132301331110
54304312024140
6304201424032
740025023523
oct10336617524
92826283382
101132142420
115310793a2
1227719b018
13150725b76
14aa5084ba
15695d4915
hex437b1f54

1132142420 has 12 divisors (see below), whose sum is σ = 2377499124. Its totient is φ = 452856960.

The previous prime is 1132142393. The next prime is 1132142441. The reversal of 1132142420 is 242412311.

It can be written as a sum of positive squares in 2 ways, for example, as 123698884 + 1008443536 = 11122^2 + 31756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 56607121 = 1132142420 / (1 + 1 + 3 + 2 + 1 + 4 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1132142392 and 1132142401.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 28303541 + ... + 28303580.

It is an arithmetic number, because the mean of its divisors is an integer number (198124927).

Almost surely, 21132142420 is an apocalyptic number.

1132142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132142420 is an abundant number, since it is smaller than the sum of its proper divisors (1245356704).

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

1132142420 is a wasteful number, since it uses less digits than its factorization.

1132142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56607130 (or 56607128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1132142420 is about 33647.3241135161. The cubic root of 1132142420 is about 1042.2382821366.

Adding to 1132142420 its reverse (242412311), we get a palindrome (1374554731).

The spelling of 1132142420 in words is "one billion, one hundred thirty-two million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 56607121 113214242 226428484 283035605 566071210 1132142420