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2993397120 = 27345773113
BaseRepresentation
bin1011001001101011…
…1001110110000000
321201121121022220000
42302122321312000
522112302201440
61213010520000
7134115312210
oct26232716600
97647538800
102993397120
1112a677061a
126b6596000
13389211ccc
142057a8240
15127bdc730
hexb26b9d80

2993397120 has 640 divisors, whose sum is σ = 12494053440. Its totient is φ = 668860416.

The previous prime is 2993397119. The next prime is 2993397149. The reversal of 2993397120 is 217933992.

It is a happy number.

2993397120 is a `hidden beast` number, since 299 + 339 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26490184 + ... + 26490296.

Almost surely, 22993397120 is an apocalyptic number.

2993397120 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 2993397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247026720).

2993397120 is an abundant number, since it is smaller than the sum of its proper divisors (9500656320).

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

2993397120 is a wasteful number, since it uses less digits than its factorization.

2993397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 2993397120 is about 54711.9467758185. The cubic root of 2993397120 is about 1441.1906818652.

The spelling of 2993397120 in words is "two billion, nine hundred ninety-three million, three hundred ninety-seven thousand, one hundred twenty".