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1145310000 = 2435438177
BaseRepresentation
bin100010001000100…
…0000101100110000
32221211002202221220
41010101000230300
54321144410000
6305351545040
740244655132
oct10421005460
92854082856
101145310000
1153855239a
1227b68b180
13153386433
14ac175052
156a8361a0
hex44440b30

1145310000 has 100 divisors (see below), whose sum is σ = 3697310232. Its totient is φ = 305408000.

The previous prime is 1145309983. The next prime is 1145310007. The reversal of 1145310000 is 135411.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×11453100002 = 2623469992200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1145310007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10912 + ... + 49088.

Almost surely, 21145310000 is an apocalyptic number.

1145310000 is a gapful number since it is divisible by the number (10) 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 1145310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848655116).

1145310000 is an abundant number, since it is smaller than the sum of its proper divisors (2552000232).

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

1145310000 is an equidigital number, since it uses as much as digits as its factorization.

1145310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38208 (or 38187 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1145310000 is about 33842.4289908393. The cubic root of 1145310000 is about 1046.2633621819.

Adding to 1145310000 its reverse (135411), we get a palindrome (1145445411).

The spelling of 1145310000 in words is "one billion, one hundred forty-five million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 38177 76354 114531 152708 190885 229062 305416 381770 458124 572655 610832 763540 916248 954425 1145310 1527080 1832496 1908850 2290620 2863275 3054160 3817700 4581240 4772125 5726550 7635400 9162480 9544250 11453100 14316375 15270800 19088500 22906200 23860625 28632750 38177000 45812400 47721250 57265500 71581875 76354000 95442500 114531000 143163750 190885000 229062000 286327500 381770000 572655000 1145310000