Search a number
-
+
8530690000 = 24547121867
BaseRepresentation
bin1111111000111011…
…11111111111010000
3211000111222221201111
413330131333333100
5114432324040000
63530254143104
7421253445220
oct77435777720
924014887644
108530690000
113688396728
1217a0ab1a94
13a5c482281
145acd6c080
1534ddc6cba
hex1fc77ffd0

8530690000 has 100 divisors (see below), whose sum is σ = 23604369184. Its totient is φ = 2924784000.

The previous prime is 8530689953. The next prime is 8530690009. The reversal of 8530690000 is 960358.

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

It is a super-2 number, since 2×85306900002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8530690009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9067 + ... + 130933.

Almost surely, 28530690000 is an apocalyptic number.

8530690000 is a gapful number since it is divisible by the number (80) 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 8530690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11802184592).

8530690000 is an abundant number, since it is smaller than the sum of its proper divisors (15073679184).

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

8530690000 is a wasteful number, since it uses less digits than its factorization.

8530690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121902 (or 121881 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 8530690000 is about 92361.7345008202. The cubic root of 8530690000 is about 2043.2807967518.

The spelling of 8530690000 in words is "eight billion, five hundred thirty million, six hundred ninety thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 121867 243734 487468 609335 853069 974936 1218670 1706138 1949872 2437340 3046675 3412276 4265345 4874680 6093350 6824552 8530690 9749360 12186700 13649104 15233375 17061380 21326725 24373400 30466750 34122760 42653450 48746800 60933500 68245520 76166875 85306900 106633625 121867000 152333750 170613800 213267250 243734000 304667500 341227600 426534500 533168125 609335000 853069000 1066336250 1218670000 1706138000 2132672500 4265345000 8530690000