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1150112304 = 2433111731399
BaseRepresentation
bin100010010001101…
…0101001000110000
32222011010202111000
41010203111020300
54323412043204
6310042522000
740333536045
oct10443251060
92864122430
101150112304
11540232440
12281206300
13154378233
14aca651cc
156ae84039
hex448d5230

1150112304 has 160 divisors (see below), whose sum is σ = 3624768000. Its totient is φ = 346256640.

The previous prime is 1150112287. The next prime is 1150112323. The reversal of 1150112304 is 4032110511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 821397 + ... + 822795.

It is an arithmetic number, because the mean of its divisors is an integer number (22654800).

Almost surely, 21150112304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812384000).

1150112304 is an abundant number, since it is smaller than the sum of its proper divisors (2474655696).

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

1150112304 is a wasteful number, since it uses less digits than its factorization.

1150112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1150112304 is about 33913.3057073474. The cubic root of 1150112304 is about 1047.7236563304.

Adding to 1150112304 its reverse (4032110511), we get a palindrome (5182222815).

The spelling of 1150112304 in words is "one billion, one hundred fifty million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 173 176 198 216 264 297 346 396 432 519 528 594 692 792 1038 1188 1384 1399 1557 1584 1903 2076 2376 2768 2798 3114 3806 4152 4197 4671 4752 5596 5709 6228 7612 8304 8394 9342 11192 11418 12456 12591 15224 15389 16788 17127 18684 22384 22836 24912 25182 30448 30778 33576 34254 37368 37773 45672 46167 50364 51381 61556 67152 68508 74736 75546 91344 92334 100728 102762 123112 137016 138501 151092 184668 201456 205524 242027 246224 274032 277002 302184 369336 411048 415503 484054 554004 604368 726081 738672 822096 831006 968108 1108008 1452162 1662012 1936216 2178243 2216016 2662297 2904324 3324024 3872432 4356486 5324594 5808648 6534729 6648048 7986891 8712972 10649188 11617296 13069458 15973782 17425944 21298376 23960673 26138916 31947564 34851888 42596752 47921346 52277832 63895128 71882019 95842692 104555664 127790256 143764038 191685384 287528076 383370768 575056152 1150112304