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189090000 = 24325411191
BaseRepresentation
bin10110100010101…
…00100011010000
3111011210202201100
423101110203100
5341401340000
630432504400
74454144541
oct1321244320
9434722640
10189090000
1197811130
12533ab100
1330237498
141b1824c8
1511901a00
hexb4548d0

189090000 has 300 divisors, whose sum is σ = 725167872. Its totient is φ = 45600000.

The previous prime is 189089993. The next prime is 189090007. The reversal of 189090000 is 90981.

It is a Cunningham number, because it is equal to 137512-1.

It is an interprime number because it is at equal distance from previous prime (189089993) and next prime (189090007).

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189090007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989905 + ... + 990095.

Almost surely, 2189090000 is an apocalyptic number.

189090000 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 189090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362583936).

189090000 is an abundant number, since it is smaller than the sum of its proper divisors (536077872).

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

189090000 is a wasteful number, since it uses less digits than its factorization.

189090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 189090000 is about 13750.9999636390. Note that the first 4 decimals coincide. The cubic root of 189090000 is about 573.9704323376.

The spelling of 189090000 in words is "one hundred eighty-nine million, ninety thousand".