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1116361410 = 235374092459
BaseRepresentation
bin100001010001010…
…0101001011000010
32212210122000221220
41002202211023002
54241242031120
6302435255510
736443625663
oct10242451302
92783560856
101116361410
1152317a93a
12271a4a596
1314a38bba8
14a839b36a
1568018b40
hex428a52c2

1116361410 has 64 divisors (see below), whose sum is σ = 2759529600. Its totient is φ = 288824832.

The previous prime is 1116361391. The next prime is 1116361417. The reversal of 1116361410 is 141636111.

It is not an unprimeable number, because it can be changed into a prime (1116361417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452761 + ... + 455219.

It is an arithmetic number, because the mean of its divisors is an integer number (43117650).

Almost surely, 21116361410 is an apocalyptic number.

1116361410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116361410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379764800).

1116361410 is an abundant number, since it is smaller than the sum of its proper divisors (1643168190).

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

1116361410 is a wasteful number, since it uses less digits than its factorization.

1116361410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1116361410 is about 33411.9950017954. The cubic root of 1116361410 is about 1037.3729957276.

Adding to 1116361410 its reverse (141636111), we get a palindrome (1257997521).

It can be divided in two parts, 1116 and 361410, that added together give a triangular number (362526 = T851).

The spelling of 1116361410 in words is "one billion, one hundred sixteen million, three hundred sixty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 409 555 818 1110 1227 2045 2454 2459 4090 4918 6135 7377 12270 12295 14754 15133 24590 30266 36885 45399 73770 75665 90798 90983 151330 181966 226995 272949 453990 454915 545898 909830 1005731 1364745 2011462 2729490 3017193 5028655 6034386 10057310 15085965 30171930 37212047 74424094 111636141 186060235 223272282 372120470 558180705 1116361410