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189834240 = 2103517727
BaseRepresentation
bin10110101000010…
…10010000000000
3111020012120121210
423110022100000
5342044143430
630500450120
74463364411
oct1324122000
9436176553
10189834240
119817a302
12536a9940
133043816b
141b2d7808
15119ec2b0
hexb50a400

189834240 has 176 divisors, whose sum is σ = 643773312. Its totient is φ = 47579136.

The previous prime is 189834233. The next prime is 189834289. The reversal of 189834240 is 42438981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260757 + ... + 261483.

Almost surely, 2189834240 is an apocalyptic number.

189834240 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 189834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321886656).

189834240 is an abundant number, since it is smaller than the sum of its proper divisors (453939072).

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

189834240 is a wasteful number, since it uses less digits than its factorization.

189834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 189834240 is about 13778.0346929451. The cubic root of 189834240 is about 574.7224772918.

The spelling of 189834240 in words is "one hundred eighty-nine million, eight hundred thirty-four thousand, two hundred forty".