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381160 = 23513733
BaseRepresentation
bin1011101000011101000
3201100212001
41131003220
544144120
612100344
73145153
oct1350350
9640761
10381160
1124040a
121646b4
13104650
149cc9a
1577e0a
hex5d0e8

381160 has 32 divisors (see below), whose sum is σ = 924840. Its totient is φ = 140544.

The previous prime is 381103. The next prime is 381167. The reversal of 381160 is 61183.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 42436 = 582^2 + 206^2 .

It is not an unprimeable number, because it can be changed into a prime (381167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 886.

2381160 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 381160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462420).

381160 is an abundant number, since it is smaller than the sum of its proper divisors (543680).

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

381160 is a wasteful number, since it uses less digits than its factorization.

381160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 381160 is about 617.3815675901. The cubic root of 381160 is about 72.5051918597.

The spelling of 381160 in words is "three hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 733 1466 2932 3665 5864 7330 9529 14660 19058 29320 38116 47645 76232 95290 190580 381160