Search a number
-
+
1145187328 = 2101318537
BaseRepresentation
bin100010001000010…
…0010110000000000
32221210212112200111
41010100202300000
54321131443303
6305345201104
740243634365
oct10420426000
92853775614
101145187328
1153847920a
1227b630194
1315334264c
14ac14246c
156a80eb6d
hex44422c00

1145187328 has 44 divisors (see below), whose sum is σ = 2307001752. Its totient is φ = 568156160.

The previous prime is 1145187301. The next prime is 1145187349. The reversal of 1145187328 is 8237815411.

It is a super-2 number, since 2×11451873282 = 2622908032423559168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129876 + ... + 138412.

It is an arithmetic number, because the mean of its divisors is an integer number (52431858).

Almost surely, 21145187328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153500876).

1145187328 is an abundant number, since it is smaller than the sum of its proper divisors (1161814424).

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

1145187328 is an equidigital number, since it uses as much as digits as its factorization.

1145187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 8670 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 1145187328 is about 33840.6165428469. The cubic root of 1145187328 is about 1046.2260064146.

The spelling of 1145187328 in words is "one billion, one hundred forty-five million, one hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 1024 1048 2096 4192 8384 8537 16768 17074 33536 34148 67072 68296 134144 136592 273184 546368 1092736 1118347 2185472 2236694 4370944 4473388 8741888 8946776 17893552 35787104 71574208 143148416 286296832 572593664 1145187328