Search a number
-
+
1130561829 = 321747157219
BaseRepresentation
bin100001101100011…
…0000000100100101
32220210100111021100
41003120300010211
54303410434304
6304103510313
740005421425
oct10330600445
92823314240
101130561829
11530199921
12276758399
131502c15c7
14aa216485
15693c1439
hex43630125

1130561829 has 24 divisors (see below), whose sum is σ = 1765895040. Its totient is φ = 694274688.

The previous prime is 1130561813. The next prime is 1130561837. The reversal of 1130561829 is 9281650311.

1130561829 is a `hidden beast` number, since 1 + 1 + 30 + 5 + 618 + 2 + 9 = 666.

It is not a de Polignac number, because 1130561829 - 24 = 1130561813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1130561793 and 1130561802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130561879) 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 23 ways as a sum of consecutive naturals, for example, 71419 + ... + 85800.

It is an arithmetic number, because the mean of its divisors is an integer number (73578960).

Almost surely, 21130561829 is an apocalyptic number.

It is an amenable number.

1130561829 is a deficient number, since it is larger than the sum of its proper divisors (635333211).

1130561829 is a wasteful number, since it uses less digits than its factorization.

1130561829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157289 (or 157286 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1130561829 is about 33623.8282918528. The cubic root of 1130561829 is about 1041.7530311526.

The spelling of 1130561829 in words is "one billion, one hundred thirty million, five hundred sixty-one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 17 47 51 141 153 423 799 2397 7191 157219 471657 1414971 2672723 7389293 8018169 22167879 24054507 66503637 125617981 376853943 1130561829