Search a number
-
+
1130023424 = 294994423
BaseRepresentation
bin100001101011010…
…1100101000000000
32220202100010201102
41003112230220000
54303241222144
6304044153532
740001016635
oct10326545000
92822303642
101130023424
1152a961362
122765388a8
1315016351a
14aa11618c
1569316b4e
hex435aca00

1130023424 has 40 divisors (see below), whose sum is σ = 2262876000. Its totient is φ = 563751936.

The previous prime is 1130023399. The next prime is 1130023457. The reversal of 1130023424 is 4243200311.

It is a junction number, because it is equal to n+sod(n) for n = 1130023396 and 1130023405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253277 + ... + 257699.

It is an arithmetic number, because the mean of its divisors is an integer number (56571900).

Almost surely, 21130023424 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 1130023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131438000).

1130023424 is an abundant number, since it is smaller than the sum of its proper divisors (1132852576).

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

1130023424 is an frugal number, since it uses more digits than its factorization.

1130023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1130023424 is about 33615.8210371248. The cubic root of 1130023424 is about 1041.5876343011.

Adding to 1130023424 its reverse (4243200311), we get a palindrome (5373223735).

The spelling of 1130023424 in words is "one billion, one hundred thirty million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 499 512 998 1996 3992 4423 7984 8846 15968 17692 31936 35384 63872 70768 127744 141536 255488 283072 566144 1132288 2207077 2264576 4414154 8828308 17656616 35313232 70626464 141252928 282505856 565011712 1130023424