Search a number
-
+
189454560 = 25354367137
BaseRepresentation
bin10110100101011…
…01100011100000
3111012111021210120
423102231203200
5342000021220
630444400240
74460223441
oct1322554340
9435437716
10189454560
1197a40019
1253546080
13303343b9
141b2392c8
1511974a40
hexb4ad8e0

189454560 has 192 divisors, whose sum is σ = 624298752. Its totient is φ = 48254976.

The previous prime is 189454553. The next prime is 189454571. The reversal of 189454560 is 65454981.

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 31 ways as a sum of consecutive naturals, for example, 1382812 + ... + 1382948.

It is an arithmetic number, because the mean of its divisors is an integer number (3251556).

Almost surely, 2189454560 is an apocalyptic number.

189454560 is a gapful number since it is divisible by the number (10) 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 189454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312149376).

189454560 is an abundant number, since it is smaller than the sum of its proper divisors (434844192).

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

189454560 is a wasteful number, since it uses less digits than its factorization.

189454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 189454560 is about 13764.2493438618. The cubic root of 189454560 is about 574.3390616161.

The spelling of 189454560 in words is "one hundred eighty-nine million, four hundred fifty-four thousand, five hundred sixty".