Search a number
-
+
1143300 = 2235237103
BaseRepresentation
bin100010111001000000100
32011002022110
410113020010
5243041200
640301020
712501144
oct4271004
92132273
101143300
11710a84
12471770
13310512
1421a924
15178b50
hex117204

1143300 has 72 divisors (see below), whose sum is σ = 3430336. Its totient is φ = 293760.

The previous prime is 1143299. The next prime is 1143341. The reversal of 1143300 is 33411.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11049 + ... + 11151.

21143300 is an apocalyptic number.

1143300 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 1143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715168).

1143300 is an abundant number, since it is smaller than the sum of its proper divisors (2287036).

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

1143300 is a wasteful number, since it uses less digits than its factorization.

1143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1143300 is about 1069.2520750506. The cubic root of 1143300 is about 104.5650945516.

Adding to 1143300 its reverse (33411), we get a palindrome (1176711).

The spelling of 1143300 in words is "one million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 103 111 148 150 185 206 222 300 309 370 412 444 515 555 618 740 925 1030 1110 1236 1545 1850 2060 2220 2575 2775 3090 3700 3811 5150 5550 6180 7622 7725 10300 11100 11433 15244 15450 19055 22866 30900 38110 45732 57165 76220 95275 114330 190550 228660 285825 381100 571650 1143300