Search a number
-
+
3046120000 = 26547112343
BaseRepresentation
bin1011010110010000…
…0001101001000000
321212021210221002021
42311210001221000
522214301320000
61222132531224
7135325410220
oct26544015100
97767727067
103046120000
111323501050
12710180b14
13397111891
1420c7b0080
1512c65411a
hexb5901a40

3046120000 has 560 divisors, whose sum is σ = 10055181312. Its totient is φ = 887040000.

The previous prime is 3046119991. The next prime is 3046120079. The reversal of 3046120000 is 216403.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70839979 + ... + 70840021.

Almost surely, 23046120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3046120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027590656).

3046120000 is an abundant number, since it is smaller than the sum of its proper divisors (7009061312).

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

3046120000 is a wasteful number, since it uses less digits than its factorization.

3046120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3046120000 is about 55191.6660375459. Note that the first 3 decimals coincide. The cubic root of 3046120000 is about 1449.6027449199.

Adding to 3046120000 its reverse (216403), we get a palindrome (3046336403).

The spelling of 3046120000 in words is "three billion, forty-six million, one hundred twenty thousand".