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189120000 = 29354197
BaseRepresentation
bin10110100010110…
…11111000000000
3111011212021212110
423101123320000
5341403320000
630433255320
74454331156
oct1321337000
9434767773
10189120000
1197831723
1253404540
1330248034
141b18d3d6
151190a850
hexb45be00

189120000 has 200 divisors, whose sum is σ = 632778696. Its totient is φ = 50176000.

The previous prime is 189119989. The next prime is 189120023. The reversal of 189120000 is 21981.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959902 + ... + 960098.

Almost surely, 2189120000 is an apocalyptic number.

189120000 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 189120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316389348).

189120000 is an abundant number, since it is smaller than the sum of its proper divisors (443658696).

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

189120000 is an frugal number, since it uses more digits than its factorization.

189120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 189120000 is about 13752.0907501369. The cubic root of 189120000 is about 574.0007850839. Note that the first 3 decimals are identical.

Adding to 189120000 its reverse (21981), we get a palindrome (189141981).

The spelling of 189120000 in words is "one hundred eighty-nine million, one hundred twenty thousand".