Search a number
-
+
270838656 = 27321122967
BaseRepresentation
bin10000001001001…
…010101110000000
3200212122000210100
4100021022232000
51023313314111
642513002400
76466043034
oct2011125600
9625560710
10270838656
11129977100
1276853400
134415a77a
1427d821c4
1518b9d756
hex1024ab80

270838656 has 288 divisors, whose sum is σ = 899425800. Its totient is φ = 78059520.

The previous prime is 270838651. The next prime is 270838663. The reversal of 270838656 is 656838072.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270838651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4042335 + ... + 4042401.

Almost surely, 2270838656 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 270838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449712900).

270838656 is an abundant number, since it is smaller than the sum of its proper divisors (628587144).

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

270838656 is a wasteful number, since it uses less digits than its factorization.

270838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 270838656 is about 16457.1764285372. The cubic root of 270838656 is about 646.9989114724.

The spelling of 270838656 in words is "two hundred seventy million, eight hundred thirty-eight thousand, six hundred fifty-six".