Search a number
-
+
190890000 = 2433547101
BaseRepresentation
bin10110110000011…
…00000000010000
3111022012012212000
423120030000100
5342331440000
630535234000
74505352420
oct1330140020
9438165760
10190890000
1198830534
1253b18900
1330717882
141b4d0480
1511b5a000
hexb60c010

190890000 has 400 divisors, whose sum is σ = 790247040. Its totient is φ = 43200000.

The previous prime is 190889999. The next prime is 190890013. The reversal of 190890000 is 98091.

190890000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889950 + ... + 1890050.

Almost surely, 2190890000 is an apocalyptic number.

190890000 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 190890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395123520).

190890000 is an abundant number, since it is smaller than the sum of its proper divisors (599357040).

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

190890000 is a wasteful number, since it uses less digits than its factorization.

190890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

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

The square root of 190890000 is about 13816.2947276033. The cubic root of 190890000 is about 575.7859447674.

The spelling of 190890000 in words is "one hundred ninety million, eight hundred ninety thousand".