Search a number
-
+
235128960 = 27335111237
BaseRepresentation
bin11100000001111…
…00100010000000
3121101102210022000
432000330202000
5440143111320
635155344000
75553364113
oct1600744200
9541383260
10235128960
111107a6960
12668b2000
1339936981
142332857a
1515997c90
hexe03c880

235128960 has 256 divisors, whose sum is σ = 909187200. Its totient is φ = 56954880.

The previous prime is 235128923. The next prime is 235128961. The reversal of 235128960 is 69821532.

235128960 is a `hidden beast` number, since 2 + 3 + 512 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (235128961) 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, 189462 + ... + 190698.

Almost surely, 2235128960 is an apocalyptic number.

235128960 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 235128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454593600).

235128960 is an abundant number, since it is smaller than the sum of its proper divisors (674058240).

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

235128960 is a wasteful number, since it uses less digits than its factorization.

235128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 235128960 is about 15333.9153512728. The cubic root of 235128960 is about 617.2134398989.

The spelling of 235128960 in words is "two hundred thirty-five million, one hundred twenty-eight thousand, nine hundred sixty".