Search a number
-
+
381660160 = 2105723463
BaseRepresentation
bin10110101111111…
…010110000000000
3222121011100022111
4112233322300000
51240201111120
6101512145104
712313025560
oct2657726000
9877140274
10381660160
11186489a22
12a7998194
13610bca1b
143898cda0
152378e75a
hex16bfac00

381660160 has 176 divisors, whose sum is σ = 1094178816. Its totient is φ = 124895232.

The previous prime is 381660107. The next prime is 381660161. The reversal of 381660160 is 61066183.

It is not an unprimeable number, because it can be changed into a prime (381660161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824089 + ... + 824551.

Almost surely, 2381660160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547089408).

381660160 is an abundant number, since it is smaller than the sum of its proper divisors (712518656).

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

381660160 is a wasteful number, since it uses less digits than its factorization.

381660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 381660160 is about 19536.1244877279. The cubic root of 381660160 is about 725.3689188616.

The spelling of 381660160 in words is "three hundred eighty-one million, six hundred sixty thousand, one hundred sixty".