Search a number
-
+
1097760384 = 2733745377
BaseRepresentation
bin100000101101110…
…0111111010000000
32211111122000011000
41001123213322000
54222011313014
6300532452000
736126544410
oct10133477200
92744560130
101097760384
11513725696
1226777a000
13146578476
14a5b18640
1566592509
hex416e7e80

1097760384 has 128 divisors (see below), whose sum is σ = 3702844800. Its totient is φ = 313638912.

The previous prime is 1097760383. The next prime is 1097760409. The reversal of 1097760384 is 4830677901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1097760383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504 + ... + 46880.

It is an arithmetic number, because the mean of its divisors is an integer number (28928475).

Almost surely, 21097760384 is an apocalyptic number.

1097760384 is a gapful number since it is divisible by the number (14) 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 1097760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851422400).

1097760384 is an abundant number, since it is smaller than the sum of its proper divisors (2605084416).

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

1097760384 is an equidigital number, since it uses as much as digits as its factorization.

1097760384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45407 (or 45389 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1097760384 is about 33132.4672187267. The cubic root of 1097760384 is about 1031.5790603447.

The spelling of 1097760384 in words is "one billion, ninety-seven million, seven hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 45377 90754 136131 181508 272262 317639 363016 408393 544524 635278 726032 816786 952917 1089048 1225179 1270556 1452064 1633572 1905834 2178096 2450358 2541112 2858751 2904128 3267144 3811668 4356192 4900716 5082224 5717502 5808256 6534288 7623336 8576253 8712384 9801432 10164448 11435004 13068576 15246672 17152506 17424768 19602864 20328896 22870008 26137152 30493344 34305012 39205728 40657792 45740016 52274304 60986688 68610024 78411456 91480032 121973376 137220048 156822912 182960064 274440096 365920128 548880192 1097760384