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11142324 = 2232417549
BaseRepresentation
bin101010100000…
…010010110100
3202222002101200
4222200102310
510323023244
61034452500
7163464624
oct52402264
922862350
1011142324
116320436
123894130
1324017bb
1416a0884
15ea1669
hexaa04b4

11142324 has 36 divisors (see below), whose sum is σ = 28856100. Its totient is φ = 3623040.

The previous prime is 11142323. The next prime is 11142331. The reversal of 11142324 is 42324111.

It can be written as a sum of positive squares in 2 ways, for example, as 4485924 + 6656400 = 2118^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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.

It is a junction number, because it is equal to n+sod(n) for n = 11142297 and 11142306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2299 + ... + 5250.

Almost surely, 211142324 is an apocalyptic number.

It is an amenable number.

11142324 is an abundant number, since it is smaller than the sum of its proper divisors (17713776).

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

11142324 is a wasteful number, since it uses less digits than its factorization.

11142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7595 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11142324 is about 3338.0119832020. The cubic root of 11142324 is about 223.3530707043.

Adding to 11142324 its reverse (42324111), we get a palindrome (53466435).

It can be divided in two parts, 111 and 42324, that multiplied together give a palindrome (4697964).

The spelling of 11142324 in words is "eleven million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 7549 15098 22647 30196 45294 67941 90588 135882 271764 309509 619018 928527 1238036 1857054 2785581 3714108 5571162 11142324