Search a number
-
+
2994133140 = 2233531383467
BaseRepresentation
bin1011001001110110…
…1101100010010100
321201122222201112000
42302131231202110
522112444230030
61213034355300
7134124466065
oct26235554224
97648881460
102994133140
1112a71235a9
126b688bb30
1338940c01b
1420591a56c
15127cd5860
hexb276d894

2994133140 has 192 divisors, whose sum is σ = 9661317120. Its totient is φ = 769011840.

The previous prime is 2994133111. The next prime is 2994133157. The reversal of 2994133140 is 413314992.

2994133140 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2994133095 and 2994133104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6411187 + ... + 6411653.

It is an arithmetic number, because the mean of its divisors is an integer number (50319360).

Almost surely, 22994133140 is an apocalyptic number.

2994133140 is a gapful number since it is divisible by the number (20) 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 2994133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830658560).

2994133140 is an abundant number, since it is smaller than the sum of its proper divisors (6667183980).

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

2994133140 is a wasteful number, since it uses less digits than its factorization.

2994133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2994133140 is about 54718.6726812703. The cubic root of 2994133140 is about 1441.3087927379.

The spelling of 2994133140 in words is "two billion, nine hundred ninety-four million, one hundred thirty-three thousand, one hundred forty".