Search a number
-
+
10754430080 = 27573230189
BaseRepresentation
bin10100000010000001…
…11001010010000000
31000202111100122122012
422001000321102000
5134011113230310
64535052432052
7530335101362
oct120100712200
930674318565
1010754430080
114619660549
122101778628
1310250a64c4
14740428d32
1542e232c05
hex281039480

10754430080 has 64 divisors (see below), whose sum is σ = 26062111800. Its totient is φ = 4242825216.

The previous prime is 10754430059. The next prime is 10754430107. The reversal of 10754430080 is 8003445701.

It can be written as a sum of positive squares in 4 ways, for example, as 9998400064 + 756030016 = 99992^2 + 27496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68375 + ... + 161814.

Almost surely, 210754430080 is an apocalyptic number.

10754430080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10754430080 is an abundant number, since it is smaller than the sum of its proper divisors (15307681720).

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

10754430080 is an equidigital number, since it uses as much as digits as its factorization.

10754430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230281 (or 230269 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 10754430080 its reverse (8003445701), we get a palindrome (18757875781).

The spelling of 10754430080 in words is "ten billion, seven hundred fifty-four million, four hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2336 2920 4672 5840 9344 11680 23360 46720 230189 460378 920756 1150945 1841512 2301890 3683024 4603780 7366048 9207560 14732096 16803797 18415120 29464192 33607594 36830240 67215188 73660480 84018985 134430376 147320960 168037970 268860752 336075940 537721504 672151880 1075443008 1344303760 2150886016 2688607520 5377215040 10754430080