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1145521032 = 233431517351
BaseRepresentation
bin100010001000111…
…0100001110001000
32221211111111102220
41010101310032020
54321223133112
6305400254040
740246524315
oct10421641610
92854444386
101145521032
115386869a7
1227b771320
1315342b4c6
14ac1cbd0c
156a87898c
hex44474388

1145521032 has 64 divisors (see below), whose sum is σ = 2950210560. Its totient is φ = 370440000.

The previous prime is 1145521031. The next prime is 1145521033. The reversal of 1145521032 is 2301255411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1145521031) and next prime (1145521033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1145520993 and 1145521011.

It is not an unprimeable number, because it can be changed into a prime (1145521031) 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, 152157 + ... + 159507.

It is an arithmetic number, because the mean of its divisors is an integer number (46097040).

Almost surely, 21145521032 is an apocalyptic number.

1145521032 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 1145521032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475105280).

1145521032 is an abundant number, since it is smaller than the sum of its proper divisors (1804689528).

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

1145521032 is a wasteful number, since it uses less digits than its factorization.

1145521032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1145521032 is about 33845.5467085405. The cubic root of 1145521032 is about 1046.3276188723.

Adding to 1145521032 its reverse (2301255411), we get a palindrome (3446776443).

The spelling of 1145521032 in words is "one billion, one hundred forty-five million, five hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 151 172 258 302 344 453 516 604 906 1032 1208 1812 3624 6493 7351 12986 14702 19479 22053 25972 29404 38958 44106 51944 58808 77916 88212 155832 176424 316093 632186 948279 1110001 1264372 1896558 2220002 2528744 3330003 3793116 4440004 6660006 7586232 8880008 13320012 26640024 47730043 95460086 143190129 190920172 286380258 381840344 572760516 1145521032