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1116402336 = 253272324077
BaseRepresentation
bin100001010001010…
…1111001010100000
32212210201010002200
41002202233022200
54241244333321
6302440213200
736444156210
oct10242571240
92783633080
101116402336
115231a8665
12271a6a200
1314a3a46ca
14a83ac240
1568025d26
hex428af2a0

1116402336 has 144 divisors (see below), whose sum is σ = 3786217344. Its totient is φ = 305091072.

The previous prime is 1116402311. The next prime is 1116402347. The reversal of 1116402336 is 6332046111.

1116402336 is a `hidden beast` number, since 1 + 11 + 640 + 2 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34330 + ... + 58406.

It is an arithmetic number, because the mean of its divisors is an integer number (26293176).

Almost surely, 21116402336 is an apocalyptic number.

1116402336 is a gapful number since it is divisible by the number (16) 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 1116402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893108672).

1116402336 is an abundant number, since it is smaller than the sum of its proper divisors (2669815008).

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

1116402336 is a wasteful number, since it uses less digits than its factorization.

1116402336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24123 (or 24112 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1116402336 is about 33412.6074409047. The cubic root of 1116402336 is about 1037.3856723297.

Adding to 1116402336 its reverse (6332046111), we get a palindrome (7448448447).

The spelling of 1116402336 in words is "one billion, one hundred sixteen million, four hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 24077 46368 48154 72231 96308 144462 168539 192616 216693 288924 337078 385232 433386 505617 553771 577848 674156 770464 866772 1011234 1107542 1155696 1348312 1516851 1661313 1733544 2022468 2215084 2311392 2696624 3033702 3322626 3467088 3876397 4044936 4430168 4983939 5393248 6067404 6645252 6934176 7752794 8089872 8860336 9967878 11629191 12134808 13290504 15505588 16179744 17720672 19935756 23258382 24269616 26581008 31011176 34887573 39871512 46516764 48539232 53162016 62022352 69775146 79743024 93033528 124044704 139550292 159486048 186067056 279100584 372134112 558201168 1116402336