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1030000000 = 2757103
BaseRepresentation
bin111101011001001…
…000110110000000
32122210010102101011
4331121020312000
54102140000000
6250112250304
734344566311
oct7531106600
92583112334
101030000000
11489454277
12248b40994
13135512173
149ab1a608
156065a2ba
hex3d648d80

1030000000 has 128 divisors (see below), whose sum is σ = 2589837120. Its totient is φ = 408000000.

The previous prime is 1029999983. The next prime is 1030000001. The reversal of 1030000000 is 301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030000001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9999949 + ... + 10000051.

Almost surely, 21030000000 is an apocalyptic number.

1030000000 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 1030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294918560).

1030000000 is an abundant number, since it is smaller than the sum of its proper divisors (1559837120).

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

1030000000 is an frugal number, since it uses more digits than its factorization.

1030000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 1030000000 is about 32093.6130717624. The cubic root of 1030000000 is about 1009.9016340500.

Adding to 1030000000 its reverse (301), we get a palindrome (1030000301).

The spelling of 1030000000 in words is "one billion, thirty million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 320 400 412 500 515 625 640 800 824 1000 1030 1250 1600 1648 2000 2060 2500 2575 3125 3200 3296 4000 4120 5000 5150 6250 6592 8000 8240 10000 10300 12500 12875 13184 15625 16000 16480 20000 20600 25000 25750 31250 32960 40000 41200 50000 51500 62500 64375 65920 78125 80000 82400 100000 103000 125000 128750 156250 164800 200000 206000 250000 257500 312500 321875 329600 400000 412000 500000 515000 625000 643750 824000 1000000 1030000 1250000 1287500 1609375 1648000 2000000 2060000 2500000 2575000 3218750 4120000 5000000 5150000 6437500 8046875 8240000 10000000 10300000 12875000 16093750 20600000 25750000 32187500 41200000 51500000 64375000 103000000 128750000 206000000 257500000 515000000 1030000000