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1145235312 = 2432135910369
BaseRepresentation
bin100010001000010…
…1110011101110000
32221210221222111200
41010100232131300
54321140012222
6305350211200
740244224314
oct10420563560
92853858450
101145235312
11538501271
1227b653b00
1315335b440
14ac155b44
156a81deac
hex4442e770

1145235312 has 120 divisors (see below), whose sum is σ = 3510452400. Its totient is φ = 346374144.

The previous prime is 1145235293. The next prime is 1145235313. The reversal of 1145235312 is 2135325411.

1145235312 is a `hidden beast` number, since 114 + 5 + 235 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145235313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105264 + ... + 115632.

It is an arithmetic number, because the mean of its divisors is an integer number (29253770).

Almost surely, 21145235312 is an apocalyptic number.

1145235312 is a gapful number since it is divisible by the number (12) 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 1145235312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755226200).

1145235312 is an abundant number, since it is smaller than the sum of its proper divisors (2365217088).

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

1145235312 is a wasteful number, since it uses less digits than its factorization.

1145235312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455 (or 10446 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1145235312 is about 33841.3255059550. The cubic root of 1145235312 is about 1046.2406186986.

Subtracting 1145235312 from its reverse (2135325411), we obtain a palindrome (990090099).

It can be divided in two parts, 11452 and 35312, that added together give a palindrome (46764).

The spelling of 1145235312 in words is "one billion, one hundred forty-five million, two hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 708 767 936 944 1062 1416 1534 1872 2124 2301 2832 3068 4248 4602 6136 6903 8496 9204 10369 12272 13806 18408 20738 27612 31107 36816 41476 55224 62214 82952 93321 110448 124428 134797 165904 186642 248856 269594 373284 404391 497712 539188 611771 746568 808782 1078376 1213173 1223542 1493136 1617564 1835313 2156752 2426346 2447084 3235128 3670626 4852692 4894168 5505939 6470256 7341252 7953023 9705384 9788336 11011878 14682504 15906046 19410768 22023756 23859069 29365008 31812092 44047512 47718138 63624184 71577207 88095024 95436276 127248368 143154414 190872552 286308828 381745104 572617656 1145235312