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1132114424 = 237227110657
BaseRepresentation
bin100001101111010…
…1011000111111000
32220220021101000212
41003132223013320
54304310130144
6304201050252
740024546100
oct10336530770
92826241025
101132114424
1153105a361
12277186988
131507161bc
14aa4dc200
15695cb49e
hex437ab1f8

1132114424 has 48 divisors (see below), whose sum is σ = 2478624480. Its totient is φ = 483356160.

The previous prime is 1132114421. The next prime is 1132114429. The reversal of 1132114424 is 4244112311.

It is a self number, because there is not a number n which added to its sum of digits gives 1132114424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132114421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 100904 + ... + 111560.

It is an arithmetic number, because the mean of its divisors is an integer number (51638010).

Almost surely, 21132114424 is an apocalyptic number.

1132114424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239312240).

1132114424 is an abundant number, since it is smaller than the sum of its proper divisors (1346510056).

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

1132114424 is a wasteful number, since it uses less digits than its factorization.

1132114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10937 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 1132114424 is about 33646.9080897488. The cubic root of 1132114424 is about 1042.2296911257.

Adding to 1132114424 its reverse (4244112311), we get a palindrome (5376226735).

The spelling of 1132114424 in words is "one billion, one hundred thirty-two million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 271 392 542 1084 1897 2168 3794 7588 10657 13279 15176 21314 26558 42628 53116 74599 85256 106232 149198 298396 522193 596792 1044386 2088772 2888047 4177544 5776094 11552188 20216329 23104376 40432658 80865316 141514303 161730632 283028606 566057212 1132114424