Search a number
-
+
270889086 = 23132311859
BaseRepresentation
bin10000001001010…
…111000001111110
3200212201120222010
4100021113001332
51023321422321
642514032050
76466343046
oct2011270176
9625646863
10270889086
11129a00a86
1276878626
1344177700
1427d96726
1518bad676
hex1025707e

270889086 has 48 divisors (see below), whose sum is σ = 589230720. Its totient is φ = 82985760.

The previous prime is 270889049. The next prime is 270889093. The reversal of 270889086 is 680988072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314925 + ... + 315783.

It is an arithmetic number, because the mean of its divisors is an integer number (12275640).

Almost surely, 2270889086 is an apocalyptic number.

270889086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 270889086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294615360).

270889086 is an abundant number, since it is smaller than the sum of its proper divisors (318341634).

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

270889086 is a wasteful number, since it uses less digits than its factorization.

270889086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 270889086 is about 16458.7085155549. The cubic root of 270889086 is about 647.0390659205.

The spelling of 270889086 in words is "two hundred seventy million, eight hundred eighty-nine thousand, eighty-six".

Divisors: 1 2 3 6 13 26 39 78 169 311 338 507 622 859 933 1014 1718 1866 2577 4043 5154 8086 11167 12129 22334 24258 33501 52559 67002 105118 145171 157677 267149 290342 315354 435513 534298 801447 871026 1602894 3472937 6945874 10418811 20837622 45148181 90296362 135444543 270889086