Search a number
-
+
1124000000 = 2856281
BaseRepresentation
bin100001011111110…
…1110000100000000
32220100000010010122
41002333232010000
54300221000000
6303311115412
736565561634
oct10277560400
92810003118
101124000000
11527517922
12274512b68
1314bb34976
14a93c8dc4
1568a27085
hex42fee100

1124000000 has 126 divisors (see below), whose sum is σ = 2814456162. Its totient is φ = 448000000.

The previous prime is 1123999997. The next prime is 1124000051. The reversal of 1124000000 is 4211.

It can be written as a sum of positive squares in 7 ways, for example, as 1120374784 + 3625216 = 33472^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999860 + ... + 4000140.

Almost surely, 21124000000 is an apocalyptic number.

1124000000 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 1124000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407228081).

1124000000 is an abundant number, since it is smaller than the sum of its proper divisors (1690456162).

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

1124000000 is an frugal number, since it uses more digits than its factorization.

1124000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1124000000 is about 33526.1092284804. The cubic root of 1124000000 is about 1039.7336596076.

Adding to 1124000000 its reverse (4211), we get a palindrome (1124004211).

The spelling of 1124000000 in words is "one billion, one hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 281 320 400 500 562 625 640 800 1000 1124 1250 1280 1405 1600 2000 2248 2500 2810 3125 3200 4000 4496 5000 5620 6250 6400 7025 8000 8992 10000 11240 12500 14050 15625 16000 17984 20000 22480 25000 28100 31250 32000 35125 35968 40000 44960 50000 56200 62500 70250 71936 80000 89920 100000 112400 125000 140500 160000 175625 179840 200000 224800 250000 281000 351250 359680 400000 449600 500000 562000 702500 800000 878125 899200 1000000 1124000 1405000 1756250 1798400 2000000 2248000 2810000 3512500 4000000 4390625 4496000 5620000 7025000 8781250 8992000 11240000 14050000 17562500 22480000 28100000 35125000 44960000 56200000 70250000 112400000 140500000 224800000 281000000 562000000 1124000000