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189885696 = 28371113219
BaseRepresentation
bin10110101000101…
…10110100000000
3111020022012012120
423110112310000
5342102320241
630501524240
74464000420
oct1324266400
9436265176
10189885696
1198204a30
1253713680
1330455700
141b30c480
1511a0c666
hexb516d00

189885696 has 432 divisors, whose sum is σ = 718179840. Its totient is φ = 43130880.

The previous prime is 189885673. The next prime is 189885713. The reversal of 189885696 is 696588981.

189885696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9993975 + ... + 9993993.

Almost surely, 2189885696 is an apocalyptic number.

189885696 is a gapful number since it is divisible by the number (16) 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 189885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359089920).

189885696 is an abundant number, since it is smaller than the sum of its proper divisors (528294144).

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

189885696 is a wasteful number, since it uses less digits than its factorization.

189885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The square root of 189885696 is about 13779.9018864432. The cubic root of 189885696 is about 574.7744002189.

The spelling of 189885696 in words is "one hundred eighty-nine million, eight hundred eighty-five thousand, six hundred ninety-six".