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1145332524 = 2237711811061
BaseRepresentation
bin100010001000100…
…0110001100101100
32221211010220212010
41010101012030230
54321201120044
6305352241220
740245110610
oct10421061454
92854126763
101145332524
11538568306
1227b6a0210
1315339376b
14ac17d340
156a83cbb9
hex4444632c

1145332524 has 96 divisors (see below), whose sum is σ = 3117284352. Its totient is φ = 320544000.

The previous prime is 1145332501. The next prime is 1145332537. The reversal of 1145332524 is 4252335411.

It is a junction number, because it is equal to n+sod(n) for n = 1145332491 and 1145332500.

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, 1078954 + ... + 1080014.

It is an arithmetic number, because the mean of its divisors is an integer number (32471712).

Almost surely, 21145332524 is an apocalyptic number.

1145332524 is a gapful number since it is divisible by the number (14) 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 1145332524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558642176).

1145332524 is an abundant number, since it is smaller than the sum of its proper divisors (1971951828).

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

1145332524 is a wasteful number, since it uses less digits than its factorization.

1145332524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1325 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 1145332524 is about 33842.7617667353. The cubic root of 1145332524 is about 1046.2702208436.

Adding to 1145332524 its reverse (4252335411), we get a palindrome (5397667935).

The spelling of 1145332524 in words is "one billion, one hundred forty-five million, three hundred thirty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 181 213 284 362 426 497 543 724 852 994 1061 1086 1267 1491 1988 2122 2172 2534 2982 3183 3801 4244 5068 5964 6366 7427 7602 12732 12851 14854 15204 22281 25702 29708 38553 44562 51404 75331 77106 89124 89957 150662 154212 179914 192041 225993 269871 301324 359828 384082 451986 527317 539742 576123 768164 903972 1054634 1079484 1152246 1344287 1581951 2109268 2304492 2688574 3163902 4032861 5377148 6327804 8065722 13634911 16131444 27269822 40904733 54539644 81809466 95444377 163618932 190888754 286333131 381777508 572666262 1145332524