Search a number
-
+
1130824352 = 2573269383
BaseRepresentation
bin100001101100111…
…0000001010100000
32220210211211101102
41003121300022200
54303442334402
6304113253532
740010564000
oct10331601240
92823754342
101130824352
11530359089
122768642a8
13150383c48
14aa284000
1569424102
hex436702a0

1130824352 has 96 divisors (see below), whose sum is σ = 2612736000. Its totient is φ = 481576704.

The previous prime is 1130824333. The next prime is 1130824367. The reversal of 1130824352 is 2534280311.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2952353 + ... + 2952735.

It is an arithmetic number, because the mean of its divisors is an integer number (27216000).

Almost surely, 21130824352 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 1130824352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368000).

1130824352 is an abundant number, since it is smaller than the sum of its proper divisors (1481911648).

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

1130824352 is an equidigital number, since it uses as much as digits as its factorization.

1130824352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1130824352 is about 33627.7318890228. The cubic root of 1130824352 is about 1041.8336586066.

The spelling of 1130824352 in words is "one billion, one hundred thirty million, eight hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 269 343 383 392 538 686 766 784 1076 1372 1532 1568 1883 2152 2681 2744 3064 3766 4304 5362 5488 6128 7532 8608 10724 10976 12256 13181 15064 18767 21448 26362 30128 37534 42896 52724 60256 75068 85792 92267 103027 105448 131369 150136 184534 206054 210896 262738 300272 369068 412108 421792 525476 600544 721189 738136 824216 1050952 1442378 1476272 1648432 2101904 2884756 2952544 3296864 4203808 5048323 5769512 10096646 11539024 20193292 23078048 35338261 40386584 70676522 80773168 141353044 161546336 282706088 565412176 1130824352