Search a number
-
+
1000000008 = 233271092167
BaseRepresentation
bin111011100110101…
…100101000001000
32120200200021010100
4323212230220020
54022000000013
6243121245400
733531600630
oct7346545010
92520607110
101000000008
11473523897
1223aa93860
1312c23a1a7
1496b4b6c0
155cbd1473
hex3b9aca08

1000000008 has 144 divisors (see below), whose sum is σ = 3142601280. Its totient is φ = 281397888.

The previous prime is 1000000007. The next prime is 1000000009. The reversal of 1000000008 is 8000000001.

It is an interprime number because it is at equal distance from previous prime (1000000007) and next prime (1000000009).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is not an unprimeable number, because it can be changed into a prime (1000000007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5987941 + ... + 5988107.

It is an arithmetic number, because the mean of its divisors is an integer number (21823620).

Almost surely, 21000000008 is an apocalyptic number.

1000000008 is a gapful number since it is divisible by the number (18) 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 1000000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571300640).

1000000008 is an abundant number, since it is smaller than the sum of its proper divisors (2142601272).

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

1000000008 is a wasteful number, since it uses less digits than its factorization.

1000000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000000008 is about 31622.7767281749. The cubic root of 1000000008 is about 1000.0000026667. Note that the first 5 decimals are identical.

Adding to 1000000008 its reverse (8000000001), we get a palindrome (9000000009).

The spelling of 1000000008 in words is "one billion, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 167 168 218 252 327 334 436 501 504 654 668 763 872 981 1002 1169 1308 1336 1503 1526 1962 2004 2289 2338 2616 3006 3052 3507 3924 4008 4578 4676 6012 6104 6867 7014 7848 9156 9352 10521 11881 12024 13734 14028 18203 18312 21042 23762 27468 28056 35643 36406 42084 47524 54609 54936 71286 72812 83167 84168 95048 106929 109218 127421 142572 145624 163827 166334 213858 218436 249501 254842 285144 327654 332668 382263 427716 436872 499002 509684 655308 665336 748503 764526 855432 998004 1019368 1146789 1310616 1497006 1529052 1984127 1996008 2293578 2994012 3058104 3968254 4587156 5952381 5988024 7936508 9174312 11904762 13888889 15873016 17857143 23809524 27777778 35714286 41666667 47619048 55555556 71428572 83333334 111111112 125000001 142857144 166666668 250000002 333333336 500000004 1000000008