Search a number
-
+
3000160020 = 22351113232661
BaseRepresentation
bin1011001011010010…
…1100111100010100
321202002022220211210
42302310230330110
522121020110040
61213411501420
7134226640134
oct26264547424
97662286753
103000160020
1112aa56a6a0
126b88b7870
1338a73c320
14206648ac4
151285c6480
hexb2d2cf14

3000160020 has 288 divisors, whose sum is σ = 10332411264. Its totient is φ = 641203200.

The previous prime is 3000159991. The next prime is 3000160039. The reversal of 3000160020 is 200610003.

3000160020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3000159978 and 3000160005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4538490 + ... + 4539150.

It is an arithmetic number, because the mean of its divisors is an integer number (35876428).

Almost surely, 23000160020 is an apocalyptic number.

3000160020 is a gapful number since it is divisible by the number (30) 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 3000160020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166205632).

3000160020 is an abundant number, since it is smaller than the sum of its proper divisors (7332251244).

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

3000160020 is a wasteful number, since it uses less digits than its factorization.

3000160020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3000160020 is about 54773.7165070985. The cubic root of 3000160020 is about 1442.2752130488.

Adding to 3000160020 its reverse (200610003), we get a palindrome (3200770023).

The spelling of 3000160020 in words is "three billion, one hundred sixty thousand, twenty".