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189501000 = 233531343113
BaseRepresentation
bin10110100101110…
…00111001001000
3111012120122111120
423102320321020
5342003013000
630445355240
74460506023
oct1322707110
9435518446
10189501000
1197a719a7
1253568b20
133034c590
141b24c1ba
15119836a0
hexb4b8e48

189501000 has 256 divisors, whose sum is σ = 657296640. Its totient is φ = 45158400.

The previous prime is 189500911. The next prime is 189501001. The reversal of 189501000 is 105981.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (189501001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1676944 + ... + 1677056.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2189501000 is an apocalyptic number.

189501000 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 189501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

189501000 is an abundant number, since it is smaller than the sum of its proper divisors (467795640).

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

189501000 is a wasteful number, since it uses less digits than its factorization.

189501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 189501000 is about 13765.9362195239. The cubic root of 189501000 is about 574.3859860202.

Adding to 189501000 its reverse (105981), we get a palindrome (189606981).

The spelling of 189501000 in words is "one hundred eighty-nine million, five hundred one thousand".