Search a number
-
+
1130424540 = 223573138599
BaseRepresentation
bin100001101100000…
…1110100011011100
32220210002111221120
41003120032203130
54303342041130
6304100530540
740004310240
oct10330164334
92823074846
101130424540
11530105763
122766b0a50
13150273c7b
14aa1bc420
1569395910
hex4360e8dc

1130424540 has 96 divisors (see below), whose sum is σ = 3629337600. Its totient is φ = 257527296.

The previous prime is 1130424499. The next prime is 1130424557. The reversal of 1130424540 is 454240311.

It is a super-3 number, since 3×11304245403 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1130424540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127161 + ... + 135759.

It is an arithmetic number, because the mean of its divisors is an integer number (37805600).

Almost surely, 21130424540 is an apocalyptic number.

1130424540 is a gapful number since it is divisible by the number (10) 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 1130424540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814668800).

1130424540 is an abundant number, since it is smaller than the sum of its proper divisors (2498913060).

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

1130424540 is a wasteful number, since it uses less digits than its factorization.

1130424540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1130424540 is about 33621.7866866114. The cubic root of 1130424540 is about 1041.7108612574.

Adding to 1130424540 its reverse (454240311), we get a palindrome (1584664851).

The spelling of 1130424540 in words is "one billion, one hundred thirty million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 939 1252 1565 1878 2191 3130 3756 4382 4695 6260 6573 8599 8764 9390 10955 13146 17198 18780 21910 25797 26292 32865 34396 42995 43820 51594 60193 65730 85990 103188 120386 128985 131460 171980 180579 240772 257970 300965 361158 515940 601930 722316 902895 1203860 1805790 2691487 3611580 5382974 8074461 10765948 13457435 16148922 18840409 26914870 32297844 37680818 40372305 53829740 56521227 75361636 80744610 94202045 113042454 161489220 188404090 226084908 282606135 376808180 565212270 1130424540