Search a number
-
+
1150422768 = 243211739949
BaseRepresentation
bin100010010010010…
…0000111011110000
32222011201112100200
41010210200323300
54324002012033
6310053315200
740336301145
oct10444407360
92864645320
101150422768
11540424720
12281335b00
13154456641
14acb063cc
156aee6013
hex44920ef0

1150422768 has 120 divisors (see below), whose sum is σ = 3560746800. Its totient is φ = 343802880.

The previous prime is 1150422701. The next prime is 1150422799. The reversal of 1150422768 is 8672240511.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110658 + ... + 120606.

It is an arithmetic number, because the mean of its divisors is an integer number (29672890).

Almost surely, 21150422768 is an apocalyptic number.

1150422768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150422768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780373400).

1150422768 is an abundant number, since it is smaller than the sum of its proper divisors (2410324032).

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

1150422768 is a wasteful number, since it uses less digits than its factorization.

1150422768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1150422768 is about 33917.8827169386. The cubic root of 1150422768 is about 1047.8179228386.

The spelling of 1150422768 in words is "one billion, one hundred fifty million, four hundred twenty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 198 219 264 292 396 438 528 584 657 792 803 876 1168 1314 1584 1606 1752 2409 2628 3212 3504 4818 5256 6424 7227 9636 9949 10512 12848 14454 19272 19898 28908 29847 38544 39796 57816 59694 79592 89541 109439 115632 119388 159184 179082 218878 238776 328317 358164 437756 477552 656634 716328 726277 875512 984951 1313268 1432656 1452554 1751024 1969902 2178831 2626536 2905108 3939804 4357662 5253072 5810216 6536493 7879608 7989047 8715324 11620432 13072986 15759216 15978094 17430648 23967141 26145972 31956188 34861296 47934282 52291944 63912376 71901423 95868564 104583888 127824752 143802846 191737128 287605692 383474256 575211384 1150422768