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189685056 = 263111929163
BaseRepresentation
bin10110100111001…
…01110101000000
3111012220222222110
423103211311000
5342024410211
630453335320
74462203441
oct1323456500
9435828873
10189685056
1198088210
1253637540
13303b52a2
141b2992c8
15119bcea6
hexb4e5d40

189685056 has 224 divisors, whose sum is σ = 599846400. Its totient is φ = 52254720.

The previous prime is 189685049. The next prime is 189685061. The reversal of 189685056 is 650586981.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 189684996 and 189685014.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1163631 + ... + 1163793.

Almost surely, 2189685056 is an apocalyptic number.

189685056 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 189685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299923200).

189685056 is an abundant number, since it is smaller than the sum of its proper divisors (410161344).

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

189685056 is a wasteful number, since it uses less digits than its factorization.

189685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 189685056 is about 13772.6197943601. The cubic root of 189685056 is about 574.5718864962.

The spelling of 189685056 in words is "one hundred eighty-nine million, six hundred eighty-five thousand, fifty-six".