Search a number
-
+
2141136 = 243214869
BaseRepresentation
bin1000001010101111010000
311000210002100
420022233100
51022004021
6113520400
724125244
oct10125720
94023070
102141136
111232738
12873100
1359c75a
143da424
152c4626
hex20abd0

2141136 has 30 divisors (see below), whose sum is σ = 5992610. Its totient is φ = 713664.

The previous prime is 2141131. The next prime is 2141141. The reversal of 2141136 is 6311412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2141131) and next prime (2141141).

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 553536 = 1260^2 + 744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7291 + ... + 7578.

22141136 is an apocalyptic number.

It is an amenable number.

2141136 is an abundant number, since it is smaller than the sum of its proper divisors (3851474).

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

2141136 is a wasteful number, since it uses less digits than its factorization.

2141136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14874 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2141136 is about 1463.2621091247. The cubic root of 2141136 is about 128.8886726556. Note that the first 3 decimals are identical.

Adding to 2141136 its reverse (6311412), we get a palindrome (8452548).

The spelling of 2141136 in words is "two million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14869 29738 44607 59476 89214 118952 133821 178428 237904 267642 356856 535284 713712 1070568 2141136