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11142300 = 22352132857
BaseRepresentation
bin101010100000…
…010010011100
3202222002100210
4222200102130
510323023200
61034452420
7163464561
oct52402234
922862323
1011142300
116320414
123894110
1324017a0
1416a0868
15ea1650
hexaa049c

11142300 has 72 divisors (see below), whose sum is σ = 34730416. Its totient is φ = 2741760.

The previous prime is 11142253. The next prime is 11142311. The reversal of 11142300 is 324111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472 + ... + 5328.

Almost surely, 211142300 is an apocalyptic number.

11142300 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 11142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365208).

11142300 is an abundant number, since it is smaller than the sum of its proper divisors (23588116).

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

11142300 is a wasteful number, since it uses less digits than its factorization.

11142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11142300 is about 3338.0083882459. The cubic root of 11142300 is about 223.3529103405.

Adding to 11142300 its reverse (324111), we get a palindrome (11466411).

It can be divided in two parts, 11 and 142300, that added together give a triangular number (142311 = T533).

The spelling of 11142300 in words is "eleven million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2857 3900 5714 8571 11428 14285 17142 28570 34284 37141 42855 57140 71425 74282 85710 111423 142850 148564 171420 185705 214275 222846 285700 371410 428550 445692 557115 742820 857100 928525 1114230 1857050 2228460 2785575 3714100 5571150 11142300