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101140 = 22513389
BaseRepresentation
bin11000101100010100
312010201221
4120230110
511214030
62100124
7600604
oct305424
9163657
10101140
1169a96
124a644
1337060
1428c04
151ee7a
hex18b14

101140 has 24 divisors (see below), whose sum is σ = 229320. Its totient is φ = 37248.

The previous prime is 101119. The next prime is 101141. The reversal of 101140 is 41101.

101140 = 752 + 762 + ... + 892.

It is a happy number.

101140 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 101124 = 4^2 + 318^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141) 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 7 ways as a sum of consecutive naturals, for example, 66 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2101140 is an apocalyptic number.

101140 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 101140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

101140 is an abundant number, since it is smaller than the sum of its proper divisors (128180).

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

101140 is a wasteful number, since it uses less digits than its factorization.

101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101140 is about 318.0251562377. The cubic root of 101140 is about 46.5916026793.

Adding to 101140 its reverse (41101), we get a palindrome (142241).

The spelling of 101140 in words is "one hundred one thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 389 778 1556 1945 3890 5057 7780 10114 20228 25285 50570 101140