Search a number
-
+
1130430720 = 2835294383
BaseRepresentation
bin100001101100001…
…0000000100000000
32220210002211102110
41003120100010000
54303342240340
6304101015320
740004334246
oct10330200400
92823084373
101130430720
1153010a371
122766b4540
13150276a23
14aa1c0796
1569397680
hex43610100

1130430720 has 72 divisors (see below), whose sum is σ = 3610325376. Its totient is φ = 301447168.

The previous prime is 1130430709. The next prime is 1130430733. The reversal of 1130430720 is 270340311.

It is a super-3 number, since 3×11304307203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143352 + ... + 151031.

It is an arithmetic number, because the mean of its divisors is an integer number (50143408).

Almost surely, 21130430720 is an apocalyptic number.

1130430720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130430720 is an abundant number, since it is smaller than the sum of its proper divisors (2479894656).

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

1130430720 is an equidigital number, since it uses as much as digits as its factorization.

1130430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294407 (or 294393 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1130430720 is about 33621.8785911793. The cubic root of 1130430720 is about 1041.7127595888.

It can be divided in two parts, 11304 and 30720, that added together give a palindrome (42024).

The spelling of 1130430720 in words is "one billion, one hundred thirty million, four hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 294383 588766 883149 1177532 1471915 1766298 2355064 2943830 3532596 4415745 4710128 5887660 7065192 8831490 9420256 11775320 14130384 17662980 18840512 23550640 28260768 35325960 37681024 47101280 56521536 70651920 75362048 94202560 113043072 141303840 188405120 226086144 282607680 376810240 565215360 1130430720