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189719712 = 253371319127
BaseRepresentation
bin10110100111011…
…10010010100000
3111012222202112000
423103232102200
5342032012322
630454204000
74462406460
oct1323562240
9435882460
10189719712
1198101256
1253653600
13303c7cb0
141b2a7ba0
15119c83ac
hexb4ee4a0

189719712 has 384 divisors, whose sum is σ = 722534400. Its totient is φ = 47029248.

The previous prime is 189719707. The next prime is 189719723. The reversal of 189719712 is 217917981.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 1493793 + ... + 1493919.

It is an arithmetic number, because the mean of its divisors is an integer number (1881600).

Almost surely, 2189719712 is an apocalyptic number.

189719712 is a gapful number since it is divisible by the number (12) 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 189719712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361267200).

189719712 is an abundant number, since it is smaller than the sum of its proper divisors (532814688).

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

189719712 is a wasteful number, since it uses less digits than its factorization.

189719712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its digits is 63504, while the sum is 45.

The square root of 189719712 is about 13773.8778853306. The cubic root of 189719712 is about 574.6068763388.

It can be divided in two parts, 1897 and 19712, that added together give a square (21609 = 1472).

The spelling of 189719712 in words is "one hundred eighty-nine million, seven hundred nineteen thousand, seven hundred twelve".