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1145000000 = 2657229
BaseRepresentation
bin100010000111111…
…0101000001000000
32221210112000201102
41010033311001000
54321110000000
6305341153532
740242224264
oct10417650100
92853460642
101145000000
115383604a1
1227b55b8a8
131532a82c1
14ac0d40a4
156a7c43d5
hex443f5040

1145000000 has 112 divisors (see below), whose sum is σ = 2852531760. Its totient is φ = 456000000.

The previous prime is 1144999993. The next prime is 1145000029. The reversal of 1145000000 is 5411.

It can be written as a sum of positive squares in 8 ways, for example, as 1082146816 + 62853184 = 32896^2 + 7928^2 .

It is a super-2 number, since 2×11450000002 = 2622050000000000000, which contains 22 as substring.

It is a nialpdrome in base 5.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4999886 + ... + 5000114.

Almost surely, 21145000000 is an apocalyptic number.

1145000000 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 1145000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426265880).

1145000000 is an abundant number, since it is smaller than the sum of its proper divisors (1707531760).

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

1145000000 is an frugal number, since it uses more digits than its factorization.

1145000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1145000000 is about 33837.8486313773. The cubic root of 1145000000 is about 1046.1689566179.

Adding to 1145000000 its reverse (5411), we get a palindrome (1145005411).

The spelling of 1145000000 in words is "one billion, one hundred forty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 229 250 320 400 458 500 625 800 916 1000 1145 1250 1600 1832 2000 2290 2500 3125 3664 4000 4580 5000 5725 6250 7328 8000 9160 10000 11450 12500 14656 15625 18320 20000 22900 25000 28625 31250 36640 40000 45800 50000 57250 62500 73280 78125 91600 100000 114500 125000 143125 156250 183200 200000 229000 250000 286250 312500 366400 458000 500000 572500 625000 715625 916000 1000000 1145000 1250000 1431250 1832000 2290000 2500000 2862500 3578125 4580000 5000000 5725000 7156250 9160000 11450000 14312500 17890625 22900000 28625000 35781250 45800000 57250000 71562500 114500000 143125000 229000000 286250000 572500000 1145000000