Search a number
-
+
190688256 = 2103411219
BaseRepresentation
bin10110101110110…
…10110000000000
3111021210222010000
423113122300000
5342304011011
630531040000
74503552303
oct1327326000
9437728100
10190688256
1198702a00
1253a40000
1330676ab5
141b47ab3a
1511b1a356
hexb5dac00

190688256 has 330 divisors, whose sum is σ = 658847420. Its totient is φ = 54743040.

The previous prime is 190688249. The next prime is 190688261. The reversal of 190688256 is 652886091.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10036215 + ... + 10036233.

Almost surely, 2190688256 is an apocalyptic number.

190688256 is a gapful number since it is divisible by the number (16) 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 190688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329423710).

190688256 is an abundant number, since it is smaller than the sum of its proper divisors (468159164).

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

190688256 is a wasteful number, since it uses less digits than its factorization.

190688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 190688256 is about 13808.9918531369. The cubic root of 190688256 is about 575.5830315612.

The spelling of 190688256 in words is "one hundred ninety million, six hundred eighty-eight thousand, two hundred fifty-six".