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1145005932 = 223722577577
BaseRepresentation
bin100010000111111…
…0110011101101100
32221210112022212010
41010033312131230
54321110142212
6305341241220
740242250500
oct10417663554
92853468763
101145005932
115383649a4
1227b563210
131532aac05
14ac0d6300
156a7c603c
hex443f676c

1145005932 has 72 divisors (see below), whose sum is σ = 3120377904. Its totient is φ = 325828608.

The previous prime is 1145005921. The next prime is 1145005937. The reversal of 1145005932 is 2395005411.

It is a super-2 number, since 2×11450059322 = 2622077168630377248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1145005932.

It is not an unprimeable number, because it can be changed into a prime (1145005937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147328 + ... + 154904.

It is an arithmetic number, because the mean of its divisors is an integer number (43338582).

Almost surely, 21145005932 is an apocalyptic number.

1145005932 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 1145005932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560188952).

1145005932 is an abundant number, since it is smaller than the sum of its proper divisors (1975371972).

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

1145005932 is a wasteful number, since it uses less digits than its factorization.

1145005932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1145005932 is about 33837.9362845904. The cubic root of 1145005932 is about 1046.1707632739.

The spelling of 1145005932 in words is "one billion, one hundred forty-five million, five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 257 294 514 588 771 1028 1542 1799 3084 3598 5397 7196 7577 10794 12593 15154 21588 22731 25186 30308 37779 45462 50372 53039 75558 90924 106078 151116 159117 212156 318234 371273 636468 742546 1113819 1485092 1947289 2227638 3894578 4455276 5841867 7789156 11683734 13631023 23367468 27262046 40893069 54524092 81786138 95417161 163572276 190834322 286251483 381668644 572502966 1145005932