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189020160 = 2113257293
BaseRepresentation
bin10110100010000…
…11100000000000
3111011200012220200
423101003200000
5341342121120
630431205200
74453434120
oct1321034000
9434605820
10189020160
119777370a
1253376800
1330211764
141b164c80
15118dae90
hexb443800

189020160 has 288 divisors, whose sum is σ = 751252320. Its totient is φ = 43057152.

The previous prime is 189020149. The next prime is 189020177. The reversal of 189020160 is 61020981.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644974 + ... + 645266.

It is an arithmetic number, because the mean of its divisors is an integer number (2608515).

Almost surely, 2189020160 is an apocalyptic number.

189020160 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 189020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375626160).

189020160 is an abundant number, since it is smaller than the sum of its proper divisors (562232160).

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

189020160 is a wasteful number, since it uses less digits than its factorization.

189020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 189020160 is about 13748.4602774274. The cubic root of 189020160 is about 573.8997587055.

The spelling of 189020160 in words is "one hundred eighty-nine million, twenty thousand, one hundred sixty".