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270329920 = 26571731229
BaseRepresentation
bin10000000111001…
…110100001000000
3200211200011221021
4100013032201000
51023201024140
642454035224
76461523610
oct2007164100
9624604837
10270329920
11129659963
1276648b14
1344010043
1427c8ca40
1518aecb4a
hex101ce840

270329920 has 224 divisors, whose sum is σ = 807598080. Its totient is φ = 84049920.

The previous prime is 270329911. The next prime is 270329923. The reversal of 270329920 is 29923072.

It can be divided in two parts, 2703 and 29920, that added together give a palindrome (32623).

270329920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (270329923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180366 + ... + 1180594.

Almost surely, 2270329920 is an apocalyptic number.

270329920 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 270329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403799040).

270329920 is an abundant number, since it is smaller than the sum of its proper divisors (537268160).

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

270329920 is a wasteful number, since it uses less digits than its factorization.

270329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 270329920 is about 16441.7128061525. The cubic root of 270329920 is about 646.5935558162.

The spelling of 270329920 in words is "two hundred seventy million, three hundred twenty-nine thousand, nine hundred twenty".