Search a number
-
+
1128774768 = 243114383599
BaseRepresentation
bin100001101000111…
…1011110001110000
32220122222200212220
41003101323301300
54302431243033
6304001321040
736654266352
oct10321736160
92818880786
101128774768
1152a189210
12276036180
1314cb17084
14a9cad0d2
156916bbb3
hex4347bc70

1128774768 has 160 divisors (see below), whose sum is σ = 3299788800. Its totient is φ = 329521920.

The previous prime is 1128774763. The next prime is 1128774769. The reversal of 1128774768 is 8674778211.

It is a self number, because there is not a number n which added to its sum of digits gives 1128774768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128774763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884133 + ... + 1884731.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 21128774768 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 1128774768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1128774768 is an abundant number, since it is smaller than the sum of its proper divisors (2171014032).

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

1128774768 is a wasteful number, since it uses less digits than its factorization.

1128774768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 51.

The square root of 1128774768 is about 33597.2434583553. The cubic root of 1128774768 is about 1041.2038475710.

The spelling of 1128774768 in words is "one billion, one hundred twenty-eight million, seven hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 83 86 88 129 132 166 172 176 249 258 264 332 344 473 498 516 528 599 664 688 913 946 996 1032 1198 1328 1419 1797 1826 1892 1992 2064 2396 2739 2838 3569 3594 3652 3784 3984 4792 5478 5676 6589 7138 7188 7304 7568 9584 10707 10956 11352 13178 14276 14376 14608 19767 21414 21912 22704 25757 26356 28552 28752 39259 39534 42828 43824 49717 51514 52712 57104 77271 78518 79068 85656 99434 103028 105424 117777 149151 154542 157036 158136 171312 198868 206056 235554 283327 298302 309084 314072 316272 397736 412112 471108 546887 566654 596604 618168 628144 795472 849981 942216 1093774 1133308 1193208 1236336 1640661 1699962 1884432 2137831 2187548 2266616 2386416 3281322 3399924 4275662 4375096 4533232 6413493 6562644 6799848 8551324 8750192 12826986 13125288 13599696 17102648 23516141 25653972 26250576 34205296 47032282 51307944 70548423 94064564 102615888 141096846 188129128 282193692 376258256 564387384 1128774768