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2996305920 = 219325127
BaseRepresentation
bin1011001010011000…
…0000000000000000
321201211002010000100
42302212000000000
522114023242140
61213153122400
7134152115526
oct26246000000
97654063010
102996305920
1112a8377a93
126b7559400
133899bccaa
14205d24316
151280b4530
hexb2980000

2996305920 has 240 divisors, whose sum is σ = 10468972800. Its totient is φ = 792723456.

The previous prime is 2996305903. The next prime is 2996305927. The reversal of 2996305920 is 295036992.

2996305920 is a `hidden beast` number, since 2 + 9 + 9 + 630 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996305927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23592897 + ... + 23593023.

It is an arithmetic number, because the mean of its divisors is an integer number (43620720).

Almost surely, 22996305920 is an apocalyptic number.

2996305920 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 2996305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234486400).

2996305920 is an abundant number, since it is smaller than the sum of its proper divisors (7472666880).

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

2996305920 is an frugal number, since it uses more digits than its factorization.

2996305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 2996305920 is about 54738.5231806632. The cubic root of 2996305920 is about 1441.6573510188.

The spelling of 2996305920 in words is "two billion, nine hundred ninety-six million, three hundred five thousand, nine hundred twenty".