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1000000000 = 2959
BaseRepresentation
bin111011100110101…
…100101000000000
32120200200021010001
4323212230220000
54022000000000
6243121245344
733531600616
oct7346545000
92520607101
101000000000
1147352388a
1223aa93854
1312c23a19c
1496b4b6b6
155cbd146a
hex3b9aca00

1000000000 has 100 divisors (see below), whose sum is σ = 2497558338. Its totient is φ = 400000000.

The previous prime is 999999937. The next prime is 1000000007. The reversal of 1000000000 is 1.

It is a happy number.

The cubic root of 1000000000 is 1000.

It is a perfect power (a cube, a 9-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 940771584 + 59228416 = 30672^2 + 7696^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1000000007) 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 9 ways as a sum of consecutive naturals, for example, 199999998 + ... + 200000002.

Almost surely, 21000000000 is an apocalyptic number.

1000000000 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 1000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248779169).

1000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1497558338).

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

1000000000 is an frugal number, since it uses more digits than its factorization.

1000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The square root of 1000000000 is about 31622.7766016838.

The spelling of 1000000000 in words is "one billion", and is thus an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 78125 80000 100000 125000 156250 160000 200000 250000 312500 320000 390625 400000 500000 625000 781250 800000 1000000 1250000 1562500 1600000 1953125 2000000 2500000 3125000 3906250 4000000 5000000 6250000 7812500 8000000 10000000 12500000 15625000 20000000 25000000 31250000 40000000 50000000 62500000 100000000 125000000 200000000 250000000 500000000 1000000000