Search a number
-
+
1126780164 = 2232251124699
BaseRepresentation
bin100001100101001…
…0100110100000100
32220112020100210200
41003022110310010
54301423431124
6303450450500
736631321236
oct10312246404
92815210720
101126780164
11529046684
12275433a30
1314c599233
14a9910256
1568dc5bc9
hex43294d04

1126780164 has 36 divisors (see below), whose sum is σ = 2859620400. Its totient is φ = 374094000.

The previous prime is 1126780147. The next prime is 1126780169. The reversal of 1126780164 is 4610876211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1126780169) 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 11 ways as a sum of consecutive naturals, for example, 53314 + ... + 71385.

It is an arithmetic number, because the mean of its divisors is an integer number (79433900).

Almost surely, 21126780164 is an apocalyptic number.

It is an amenable number.

1126780164 is an abundant number, since it is smaller than the sum of its proper divisors (1732840236).

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

1126780164 is a wasteful number, since it uses less digits than its factorization.

1126780164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124960 (or 124955 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1126780164 is about 33567.5462910234. The cubic root of 1126780164 is about 1040.5901987767.

The spelling of 1126780164 in words is "one billion, one hundred twenty-six million, seven hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 753 1004 1506 2259 3012 4518 9036 124699 249398 374097 498796 748194 1122291 1496388 2244582 4489164 31299449 62598898 93898347 125197796 187796694 281695041 375593388 563390082 1126780164