Search a number
-
+
1124114432 = 213719603
BaseRepresentation
bin100001100000000…
…1010000000000000
32220100012221002212
41003000022000000
54300233130212
6303313401252
736566546360
oct10300120000
92810187085
101124114432
115275958a1
12274569228
1314bb74a8c
14a94189a0
1568a4ae22
hex4300a000

1124114432 has 56 divisors (see below), whose sum is σ = 2569378656. Its totient is φ = 481738752.

The previous prime is 1124114429. The next prime is 1124114479. The reversal of 1124114432 is 2344114211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1124114398 and 1124114407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47543 + ... + 67145.

Almost surely, 21124114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284689328).

1124114432 is an abundant number, since it is smaller than the sum of its proper divisors (1445264224).

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

1124114432 is an frugal number, since it uses more digits than its factorization.

1124114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19636 (or 19612 counting only the distinct ones).

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

The square root of 1124114432 is about 33527.8157952468. The cubic root of 1124114432 is about 1039.7689427526.

Adding to 1124114432 its reverse (2344114211), we get a palindrome (3468228643).

The spelling of 1124114432 in words is "one billion, one hundred twenty-four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 19603 28672 39206 57344 78412 137221 156824 274442 313648 548884 627296 1097768 1254592 2195536 2509184 4391072 5018368 8782144 10036736 17564288 20073472 35128576 40146944 70257152 80293888 140514304 160587776 281028608 562057216 1124114432