Search a number
-
+
1126314168 = 233712135527
BaseRepresentation
bin100001100100010…
…0011000010111000
32220111100200120120
41003020203002320
54301314023133
6303432453240
736624340530
oct10310430270
92814320516
101126314168
11528858561
1227524a220
1314c4650b5
14a982c4c0
1568d32ab3
hex432230b8

1126314168 has 64 divisors (see below), whose sum is σ = 3221276160. Its totient is φ = 321480576.

The previous prime is 1126314149. The next prime is 1126314169. The reversal of 1126314168 is 8614136211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126314169) 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 15 ways as a sum of consecutive naturals, for example, 201021 + ... + 206547.

It is an arithmetic number, because the mean of its divisors is an integer number (50332440).

Almost surely, 21126314168 is an apocalyptic number.

It is an amenable number.

1126314168 is an abundant number, since it is smaller than the sum of its proper divisors (2094961992).

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

1126314168 is a wasteful number, since it uses less digits than its factorization.

1126314168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6752 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1126314168 is about 33560.6044045694. The cubic root of 1126314168 is about 1040.4467286931.

The spelling of 1126314168 in words is "one billion, one hundred twenty-six million, three hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1213 2426 3639 4852 5527 7278 8491 9704 11054 14556 16581 16982 22108 25473 29112 33162 33964 38689 44216 50946 66324 67928 77378 101892 116067 132648 154756 203784 232134 309512 464268 928536 6704251 13408502 20112753 26817004 40225506 46929757 53634008 80451012 93859514 140789271 160902024 187719028 281578542 375438056 563157084 1126314168