Search a number
-
+
270032256 = 27321321973
BaseRepresentation
bin10000000110000…
…101110110000000
3200211010001121200
4100012011312000
51023112013011
642443421200
76456144024
oct2006056600
9624101550
10270032256
1112947625a
1276524800
1343c37700
1427c12384
1518a8e856
hex10185d80

270032256 has 288 divisors, whose sum is σ = 897834600. Its totient is φ = 77635584.

The previous prime is 270032239. The next prime is 270032263. The reversal of 270032256 is 652230072.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3699036 + ... + 3699108.

Almost surely, 2270032256 is an apocalyptic number.

270032256 is a gapful number since it is divisible by the number (26) 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 270032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448917300).

270032256 is an abundant number, since it is smaller than the sum of its proper divisors (627802344).

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

270032256 is a wasteful number, since it uses less digits than its factorization.

270032256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 270032256 is about 16432.6582146651. The cubic root of 270032256 is about 646.3561442978.

The spelling of 270032256 in words is "two hundred seventy million, thirty-two thousand, two hundred fifty-six".