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270292992 = 2113293741
BaseRepresentation
bin10000000111000…
…101100000000000
3200211121022021120
4100013011200000
51023143333432
642453152240
76461311134
oct2007054000
9624538246
10270292992
11129634142
127662b680
1343cc92a8
1427c7d3c4
1518ae1c2c
hex101c5800

270292992 has 192 divisors, whose sum is σ = 784274400. Its totient is φ = 82575360.

The previous prime is 270292991. The next prime is 270293039. The reversal of 270292992 is 299292072.

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

It is a super-3 number, since 3×2702929923 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270292991) 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 15 ways as a sum of consecutive naturals, for example, 6592492 + ... + 6592532.

Almost surely, 2270292992 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 270292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

270292992 is an abundant number, since it is smaller than the sum of its proper divisors (513981408).

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

270292992 is a wasteful number, since it uses less digits than its factorization.

270292992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 270292992 is about 16440.5897704432. The cubic root of 270292992 is about 646.5641121718.

The spelling of 270292992 in words is "two hundred seventy million, two hundred ninety-two thousand, nine hundred ninety-two".