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2993996160 = 27325717321
BaseRepresentation
bin1011001001110100…
…1100000110000000
321201122201202121200
42302131030012000
522112430334120
61213031421200
7134123355531
oct26235140600
97648652550
102993996160
1112a703a6a1
126b6824800
1338939187c
142058c2688
15127ca9e90
hexb274c180

2993996160 has 192 divisors, whose sum is σ = 10485689760. Its totient is φ = 787046400.

The previous prime is 2993996153. The next prime is 2993996167. The reversal of 2993996160 is 616993992.

2993996160 is a `hidden beast` number, since 2 + 99 + 399 + 6 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (2993996153) and next prime (2993996167).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2993996097 and 2993996106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993996167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405300 + ... + 412620.

Almost surely, 22993996160 is an apocalyptic number.

2993996160 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 2993996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242844880).

2993996160 is an abundant number, since it is smaller than the sum of its proper divisors (7491693600).

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

2993996160 is a wasteful number, since it uses less digits than its factorization.

2993996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 2993996160 is about 54717.4209918560. The cubic root of 2993996160 is about 1441.2868126990.

The spelling of 2993996160 in words is "two billion, nine hundred ninety-three million, nine hundred ninety-six thousand, one hundred sixty".