Search a number
-
+
189068256 = 25341331181
BaseRepresentation
bin10110100010011…
…11001111100000
3111011202122220000
423101033033200
5341400141011
630432220000
74454024256
oct1321171740
9434678800
10189068256
11977a6863
125339a600
133022a610
141b1785d6
15118ea356
hexb44f3e0

189068256 has 240 divisors, whose sum is σ = 621548928. Its totient is φ = 55987200.

The previous prime is 189068249. The next prime is 189068267. The reversal of 189068256 is 652860981.

189068256 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044486 + ... + 1044666.

Almost surely, 2189068256 is an apocalyptic number.

189068256 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 189068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310774464).

189068256 is an abundant number, since it is smaller than the sum of its proper divisors (432480672).

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

189068256 is a wasteful number, since it uses less digits than its factorization.

189068256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

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

The square root of 189068256 is about 13750.2093074978. The cubic root of 189068256 is about 573.9484306603.

The spelling of 189068256 in words is "one hundred eighty-nine million, sixty-eight thousand, two hundred fifty-six".