Search a number
-
+
1126315232 = 25737913267
BaseRepresentation
bin100001100100010…
…0011010011100000
32220111100202000222
41003020203103200
54301314041412
6303432502212
736624343610
oct10310432340
92814322028
101126315232
11528859339
1227524a968
1314c465723
14a982ca40
1568d33072
hex432234e0

1126315232 has 48 divisors (see below), whose sum is σ = 2541087360. Its totient is φ = 481396608.

The previous prime is 1126315217. The next prime is 1126315237. The reversal of 1126315232 is 2325136211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126315237) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 78263 + ... + 91529.

It is an arithmetic number, because the mean of its divisors is an integer number (52939320).

Almost surely, 21126315232 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 1126315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270543680).

1126315232 is an abundant number, since it is smaller than the sum of its proper divisors (1414772128).

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

1126315232 is a wasteful number, since it uses less digits than its factorization.

1126315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13663 (or 13655 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 1126315232 is about 33560.6202564851. The cubic root of 1126315232 is about 1040.4470563207.

The spelling of 1126315232 in words is "one billion, one hundred twenty-six million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 379 758 1516 2653 3032 5306 6064 10612 12128 13267 21224 26534 42448 53068 84896 92869 106136 185738 212272 371476 424544 742952 1485904 2971808 5028193 10056386 20112772 35197351 40225544 70394702 80451088 140789404 160902176 281578808 563157616 1126315232