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1146303136 = 2511191011697
BaseRepresentation
bin100010001010011…
…0011001010100000
32221212222020021201
41010110303022200
54321423200021
6305425130544
740256262436
oct10424631240
92855866251
101146303136
11539070570
1227ba89a54
131536434a4
14ac352d56
156a980591
hex445332a0

1146303136 has 96 divisors (see below), whose sum is σ = 2618723520. Its totient is φ = 488448000.

The previous prime is 1146303131. The next prime is 1146303161. The reversal of 1146303136 is 6313036411.

It is not an unprimeable number, because it can be changed into a prime (1146303131) 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 15 ways as a sum of consecutive naturals, for example, 674640 + ... + 676336.

It is an arithmetic number, because the mean of its divisors is an integer number (27278370).

Almost surely, 21146303136 is an apocalyptic number.

1146303136 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 1146303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309361760).

1146303136 is an abundant number, since it is smaller than the sum of its proper divisors (1472420384).

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

1146303136 is a wasteful number, since it uses less digits than its factorization.

1146303136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 1146303136 is about 33857.0987534372. The cubic root of 1146303136 is about 1046.5656912790.

Adding to 1146303136 its reverse (6313036411), we get a palindrome (7459339547).

The spelling of 1146303136 in words is "one billion, one hundred forty-six million, three hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 101 152 176 202 209 304 352 404 418 608 808 836 1111 1616 1672 1697 1919 2222 3232 3344 3394 3838 4444 6688 6788 7676 8888 13576 15352 17776 18667 21109 27152 30704 32243 35552 37334 42218 54304 61408 64486 74668 84436 128972 149336 168872 171397 257944 298672 337744 342794 354673 515888 597344 675488 685588 709346 1031776 1371176 1418692 1885367 2742352 2837384 3256543 3770734 5484704 5674768 6513086 7541468 11349536 13026172 15082936 26052344 30165872 35821973 52104688 60331744 71643946 104209376 143287892 286575784 573151568 1146303136