Search a number
-
+
1116564306 = 2311138315679
BaseRepresentation
bin100001010001101…
…0110101101010010
32212211000100021120
41002203112231102
54241320024211
6302443503110
736445432344
oct10243265522
92784010246
101116564306
115232a9320
12271b27a96
1314a430350
14a8411294
1568058d06
hex428d6b52

1116564306 has 64 divisors (see below), whose sum is σ = 2655313920. Its totient is φ = 308543040.

The previous prime is 1116564271. The next prime is 1116564311. The reversal of 1116564306 is 6034656111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63375 + ... + 79053.

It is an arithmetic number, because the mean of its divisors is an integer number (41489280).

Almost surely, 21116564306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116564306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327656960).

1116564306 is an abundant number, since it is smaller than the sum of its proper divisors (1538749614).

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

1116564306 is a wasteful number, since it uses less digits than its factorization.

1116564306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15791.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1116564306 is about 33415.0311386957. The cubic root of 1116564306 is about 1037.4358386025.

The spelling of 1116564306 in words is "one billion, one hundred sixteen million, five hundred sixty-four thousand, three hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 83 143 166 249 286 429 498 858 913 1079 1826 2158 2739 3237 5478 6474 11869 15679 23738 31358 35607 47037 71214 94074 172469 203827 344938 407654 517407 611481 1034814 1222962 1301357 2242097 2602714 3904071 4484194 6726291 7808142 13452582 14314927 16917641 28629854 33835282 42944781 50752923 85889562 101505846 186094051 372188102 558282153 1116564306