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101160 = 23325281
BaseRepresentation
bin11000101100101000
312010202200
4120230220
511214120
62100200
7600633
oct305450
9163680
10101160
116a004
124a660
1337077
1428c1a
151ee90
hex18b28

101160 has 48 divisors (see below), whose sum is σ = 329940. Its totient is φ = 26880.

The previous prime is 101159. The next prime is 101161. The reversal of 101160 is 61101.

Adding to 101160 its reverse (61101), we get a palindrome (162261).

It is an interprime number because it is at equal distance from previous prime (101159) and next prime (101161).

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 36 = 318^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101160.

It is not an unprimeable number, because it can be changed into a prime (101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220 + ... + 500.

2101160 is an apocalyptic number.

101160 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 101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164970).

101160 is an abundant number, since it is smaller than the sum of its proper divisors (228780).

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

101160 is a wasteful number, since it uses less digits than its factorization.

101160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101160 is about 318.0565987368. The cubic root of 101160 is about 46.5946735732.

The spelling of 101160 in words is "one hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 281 360 562 843 1124 1405 1686 2248 2529 2810 3372 4215 5058 5620 6744 8430 10116 11240 12645 16860 20232 25290 33720 50580 101160